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Finding the Fourth Proportional to 16,563.59, 22,862.89 and 10,192.13

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Solution

The fourth proportional to 16,563.59, 22,862.89 and 10,192.13 is: 14,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.59 : 22,862.89 = 10,192.13 : x
  2. Step 2: Convert to fraction form
    16,563.59/22,862.89 = 10,192.13/x
  3. Step 3: Cross multiply
    16,563.59x = 22,862.89 × 10,192.13
  4. Step 4: Simplify right side
    16,563.59x = 233,021,547.06
  5. Step 5: Solve for x
    x = 233,021,547.06/16,563.59
  6. Step 6: Final answer
    x = 14,068.30

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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.