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Finding the Fourth Proportional to 16,127.52, 22,256.54 and 9,412.08

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Solution

The fourth proportional to 16,127.52, 22,256.54 and 9,412.08 is: 12,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.52 : 22,256.54 = 9,412.08 : x
  2. Step 2: Convert to fraction form
    16,127.52/22,256.54 = 9,412.08/x
  3. Step 3: Cross multiply
    16,127.52x = 22,256.54 × 9,412.08
  4. Step 4: Simplify right side
    16,127.52x = 209,480,335.00
  5. Step 5: Solve for x
    x = 209,480,335.00/16,127.52
  6. Step 6: Final answer
    x = 12,989.00

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