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Finding the Fourth Proportional to 10,201.80, 15,318.18 and 9,700.68

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Solution

The fourth proportional to 10,201.80, 15,318.18 and 9,700.68 is: 14,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.80 : 15,318.18 = 9,700.68 : x
  2. Step 2: Convert to fraction form
    10,201.80/15,318.18 = 9,700.68/x
  3. Step 3: Cross multiply
    10,201.80x = 15,318.18 × 9,700.68
  4. Step 4: Simplify right side
    10,201.80x = 148,596,762.36
  5. Step 5: Solve for x
    x = 148,596,762.36/10,201.80
  6. Step 6: Final answer
    x = 14,565.74

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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.