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Finding the Fourth Proportional to 22,754.14, 31,402.29 and 13,802.02

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Solution

The fourth proportional to 22,754.14, 31,402.29 and 13,802.02 is: 19,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.14 : 31,402.29 = 13,802.02 : x
  2. Step 2: Convert to fraction form
    22,754.14/31,402.29 = 13,802.02/x
  3. Step 3: Cross multiply
    22,754.14x = 31,402.29 × 13,802.02
  4. Step 4: Simplify right side
    22,754.14x = 433,415,034.63
  5. Step 5: Solve for x
    x = 433,415,034.63/22,754.14
  6. Step 6: Final answer
    x = 19,047.74

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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.