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Finding the Fourth Proportional to 21,504.32, 32,254.02 and 7,461.74

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Solution

The fourth proportional to 21,504.32, 32,254.02 and 7,461.74 is: 11,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.32 : 32,254.02 = 7,461.74 : x
  2. Step 2: Convert to fraction form
    21,504.32/32,254.02 = 7,461.74/x
  3. Step 3: Cross multiply
    21,504.32x = 32,254.02 × 7,461.74
  4. Step 4: Simplify right side
    21,504.32x = 240,671,111.19
  5. Step 5: Solve for x
    x = 240,671,111.19/21,504.32
  6. Step 6: Final answer
    x = 11,191.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.