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Finding the Fourth Proportional to 15,909.76, 23,869.83 and 7,588.70

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Solution

The fourth proportional to 15,909.76, 23,869.83 and 7,588.70 is: 11,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.76 : 23,869.83 = 7,588.70 : x
  2. Step 2: Convert to fraction form
    15,909.76/23,869.83 = 7,588.70/x
  3. Step 3: Cross multiply
    15,909.76x = 23,869.83 × 7,588.70
  4. Step 4: Simplify right side
    15,909.76x = 181,140,840.60
  5. Step 5: Solve for x
    x = 181,140,840.60/15,909.76
  6. Step 6: Final answer
    x = 11,385.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.