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Finding the Fourth Proportional to 15,567.87, 23,353.02 and 7,770

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Solution

The fourth proportional to 15,567.87, 23,353.02 and 7,770 is: 11,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.87 : 23,353.02 = 7,770 : x
  2. Step 2: Convert to fraction form
    15,567.87/23,353.02 = 7,770/x
  3. Step 3: Cross multiply
    15,567.87x = 23,353.02 × 7,770
  4. Step 4: Simplify right side
    15,567.87x = 181,452,965.40
  5. Step 5: Solve for x
    x = 181,452,965.40/15,567.87
  6. Step 6: Final answer
    x = 11,655.61

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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.