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Finding the Fourth Proportional to 15,616.40, 23,432.04 and 7,830.68

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Solution

The fourth proportional to 15,616.40, 23,432.04 and 7,830.68 is: 11,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.40 : 23,432.04 = 7,830.68 : x
  2. Step 2: Convert to fraction form
    15,616.40/23,432.04 = 7,830.68/x
  3. Step 3: Cross multiply
    15,616.40x = 23,432.04 × 7,830.68
  4. Step 4: Simplify right side
    15,616.40x = 183,488,806.99
  5. Step 5: Solve for x
    x = 183,488,806.99/15,616.40
  6. Step 6: Final answer
    x = 11,749.75

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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.