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Finding the Fourth Proportional to 22,024.64, 30,394.02 and 11,953.08

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Solution

The fourth proportional to 22,024.64, 30,394.02 and 11,953.08 is: 16,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.64 : 30,394.02 = 11,953.08 : x
  2. Step 2: Convert to fraction form
    22,024.64/30,394.02 = 11,953.08/x
  3. Step 3: Cross multiply
    22,024.64x = 30,394.02 × 11,953.08
  4. Step 4: Simplify right side
    22,024.64x = 363,302,152.58
  5. Step 5: Solve for x
    x = 363,302,152.58/22,024.64
  6. Step 6: Final answer
    x = 16,495.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.