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Finding the Fourth Proportional to 24,517.04, 36,776.88 and 7,875.77

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Solution

The fourth proportional to 24,517.04, 36,776.88 and 7,875.77 is: 11,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.04 : 36,776.88 = 7,875.77 : x
  2. Step 2: Convert to fraction form
    24,517.04/36,776.88 = 7,875.77/x
  3. Step 3: Cross multiply
    24,517.04x = 36,776.88 × 7,875.77
  4. Step 4: Simplify right side
    24,517.04x = 289,646,064.31
  5. Step 5: Solve for x
    x = 289,646,064.31/24,517.04
  6. Step 6: Final answer
    x = 11,814.07

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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.