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Finding the Fourth Proportional to 13,042.71, 17,999.01 and 10,053

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Solution

The fourth proportional to 13,042.71, 17,999.01 and 10,053 is: 13,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.71 : 17,999.01 = 10,053 : x
  2. Step 2: Convert to fraction form
    13,042.71/17,999.01 = 10,053/x
  3. Step 3: Cross multiply
    13,042.71x = 17,999.01 × 10,053
  4. Step 4: Simplify right side
    13,042.71x = 180,944,047.53
  5. Step 5: Solve for x
    x = 180,944,047.53/13,042.71
  6. Step 6: Final answer
    x = 13,873.19

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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.