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Finding the Fourth Proportional to 22,009.28, 30,378.08 and 12,583.32

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Solution

The fourth proportional to 22,009.28, 30,378.08 and 12,583.32 is: 17,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.28 : 30,378.08 = 12,583.32 : x
  2. Step 2: Convert to fraction form
    22,009.28/30,378.08 = 12,583.32/x
  3. Step 3: Cross multiply
    22,009.28x = 30,378.08 × 12,583.32
  4. Step 4: Simplify right side
    22,009.28x = 382,257,101.63
  5. Step 5: Solve for x
    x = 382,257,101.63/22,009.28
  6. Step 6: Final answer
    x = 17,368.00

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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.