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Finding the Fourth Proportional to 10,602.06, 15,824.42 and 9,356.55

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Solution

The fourth proportional to 10,602.06, 15,824.42 and 9,356.55 is: 13,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.06 : 15,824.42 = 9,356.55 : x
  2. Step 2: Convert to fraction form
    10,602.06/15,824.42 = 9,356.55/x
  3. Step 3: Cross multiply
    10,602.06x = 15,824.42 × 9,356.55
  4. Step 4: Simplify right side
    10,602.06x = 148,061,930.17
  5. Step 5: Solve for x
    x = 148,061,930.17/10,602.06
  6. Step 6: Final answer
    x = 13,965.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.