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Finding the Fourth Proportional to 24,453.13, 36,681.66 and 7,815.54

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Solution

The fourth proportional to 24,453.13, 36,681.66 and 7,815.54 is: 11,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.13 : 36,681.66 = 7,815.54 : x
  2. Step 2: Convert to fraction form
    24,453.13/36,681.66 = 7,815.54/x
  3. Step 3: Cross multiply
    24,453.13x = 36,681.66 × 7,815.54
  4. Step 4: Simplify right side
    24,453.13x = 286,686,981.00
  5. Step 5: Solve for x
    x = 286,686,981.00/24,453.13
  6. Step 6: Final answer
    x = 11,723.94

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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.