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Finding the Fourth Proportional to 10,557.42, 15,820.40 and 9,623.87

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Solution

The fourth proportional to 10,557.42, 15,820.40 and 9,623.87 is: 14,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.42 : 15,820.40 = 9,623.87 : x
  2. Step 2: Convert to fraction form
    10,557.42/15,820.40 = 9,623.87/x
  3. Step 3: Cross multiply
    10,557.42x = 15,820.40 × 9,623.87
  4. Step 4: Simplify right side
    10,557.42x = 152,253,345.73
  5. Step 5: Solve for x
    x = 152,253,345.73/10,557.42
  6. Step 6: Final answer
    x = 14,421.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.