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Finding the Fourth Proportional to 24,358.28, 36,538.68 and 7,720.08

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Solution

The fourth proportional to 24,358.28, 36,538.68 and 7,720.08 is: 11,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.28 : 36,538.68 = 7,720.08 : x
  2. Step 2: Convert to fraction form
    24,358.28/36,538.68 = 7,720.08/x
  3. Step 3: Cross multiply
    24,358.28x = 36,538.68 × 7,720.08
  4. Step 4: Simplify right side
    24,358.28x = 282,081,532.69
  5. Step 5: Solve for x
    x = 282,081,532.69/24,358.28
  6. Step 6: Final answer
    x = 11,580.52

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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.