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Finding the Fourth Proportional to 24,023.14, 36,038.16 and 7,384.57

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Solution

The fourth proportional to 24,023.14, 36,038.16 and 7,384.57 is: 11,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.14 : 36,038.16 = 7,384.57 : x
  2. Step 2: Convert to fraction form
    24,023.14/36,038.16 = 7,384.57/x
  3. Step 3: Cross multiply
    24,023.14x = 36,038.16 × 7,384.57
  4. Step 4: Simplify right side
    24,023.14x = 266,126,246.79
  5. Step 5: Solve for x
    x = 266,126,246.79/24,023.14
  6. Step 6: Final answer
    x = 11,077.91

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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.