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Finding the Fourth Proportional to 24,465.32, 36,697.78 and 14,538.86

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Solution

The fourth proportional to 24,465.32, 36,697.78 and 14,538.86 is: 21,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.32 : 36,697.78 = 14,538.86 : x
  2. Step 2: Convert to fraction form
    24,465.32/36,697.78 = 14,538.86/x
  3. Step 3: Cross multiply
    24,465.32x = 36,697.78 × 14,538.86
  4. Step 4: Simplify right side
    24,465.32x = 533,543,665.89
  5. Step 5: Solve for x
    x = 533,543,665.89/24,465.32
  6. Step 6: Final answer
    x = 21,808.17

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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.