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Finding the Fourth Proportional to 10,531.76, 14,553.07 and 10,019.23

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Solution

The fourth proportional to 10,531.76, 14,553.07 and 10,019.23 is: 13,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.76 : 14,553.07 = 10,019.23 : x
  2. Step 2: Convert to fraction form
    10,531.76/14,553.07 = 10,019.23/x
  3. Step 3: Cross multiply
    10,531.76x = 14,553.07 × 10,019.23
  4. Step 4: Simplify right side
    10,531.76x = 145,810,494.11
  5. Step 5: Solve for x
    x = 145,810,494.11/10,531.76
  6. Step 6: Final answer
    x = 13,844.84

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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.