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Finding the Fourth Proportional to 24,292.65, 36,438.98 and 13,897.11

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Solution

The fourth proportional to 24,292.65, 36,438.98 and 13,897.11 is: 20,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.65 : 36,438.98 = 13,897.11 : x
  2. Step 2: Convert to fraction form
    24,292.65/36,438.98 = 13,897.11/x
  3. Step 3: Cross multiply
    24,292.65x = 36,438.98 × 13,897.11
  4. Step 4: Simplify right side
    24,292.65x = 506,396,443.86
  5. Step 5: Solve for x
    x = 506,396,443.86/24,292.65
  6. Step 6: Final answer
    x = 20,845.67

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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.