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Finding the Fourth Proportional to 24,514.58, 36,763.81 and 7,870.66

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Solution

The fourth proportional to 24,514.58, 36,763.81 and 7,870.66 is: 11,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.58 : 36,763.81 = 7,870.66 : x
  2. Step 2: Convert to fraction form
    24,514.58/36,763.81 = 7,870.66/x
  3. Step 3: Cross multiply
    24,514.58x = 36,763.81 × 7,870.66
  4. Step 4: Simplify right side
    24,514.58x = 289,355,337.23
  5. Step 5: Solve for x
    x = 289,355,337.23/24,514.58
  6. Step 6: Final answer
    x = 11,803.40

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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.