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Finding the Fourth Proportional to 24,117.80, 36,176.70 and 7,477.70

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Solution

The fourth proportional to 24,117.80, 36,176.70 and 7,477.70 is: 11,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.80 : 36,176.70 = 7,477.70 : x
  2. Step 2: Convert to fraction form
    24,117.80/36,176.70 = 7,477.70/x
  3. Step 3: Cross multiply
    24,117.80x = 36,176.70 × 7,477.70
  4. Step 4: Simplify right side
    24,117.80x = 270,518,509.59
  5. Step 5: Solve for x
    x = 270,518,509.59/24,117.80
  6. Step 6: Final answer
    x = 11,216.55

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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.