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Finding the Fourth Proportional to 16,526.57, 24,765.24 and 9,133.14

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Solution

The fourth proportional to 16,526.57, 24,765.24 and 9,133.14 is: 13,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.57 : 24,765.24 = 9,133.14 : x
  2. Step 2: Convert to fraction form
    16,526.57/24,765.24 = 9,133.14/x
  3. Step 3: Cross multiply
    16,526.57x = 24,765.24 × 9,133.14
  4. Step 4: Simplify right side
    16,526.57x = 226,184,465.97
  5. Step 5: Solve for x
    x = 226,184,465.97/16,526.57
  6. Step 6: Final answer
    x = 13,686.11

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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.