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Finding the Fourth Proportional to 24,459.60, 36,692.10 and 7,816.80

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Solution

The fourth proportional to 24,459.60, 36,692.10 and 7,816.80 is: 11,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.60 : 36,692.10 = 7,816.80 : x
  2. Step 2: Convert to fraction form
    24,459.60/36,692.10 = 7,816.80/x
  3. Step 3: Cross multiply
    24,459.60x = 36,692.10 × 7,816.80
  4. Step 4: Simplify right side
    24,459.60x = 286,814,807.28
  5. Step 5: Solve for x
    x = 286,814,807.28/24,459.60
  6. Step 6: Final answer
    x = 11,726.06

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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.