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Finding the Fourth Proportional to 15,655.80, 23,486.29 and 7,758.70

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Solution

The fourth proportional to 15,655.80, 23,486.29 and 7,758.70 is: 11,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.80 : 23,486.29 = 7,758.70 : x
  2. Step 2: Convert to fraction form
    15,655.80/23,486.29 = 7,758.70/x
  3. Step 3: Cross multiply
    15,655.80x = 23,486.29 × 7,758.70
  4. Step 4: Simplify right side
    15,655.80x = 182,223,000.11
  5. Step 5: Solve for x
    x = 182,223,000.11/15,655.80
  6. Step 6: Final answer
    x = 11,639.33

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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.