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Finding the Fourth Proportional to 24,510.72, 36,778.23 and 9,719.32

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Solution

The fourth proportional to 24,510.72, 36,778.23 and 9,719.32 is: 14,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.72 : 36,778.23 = 9,719.32 : x
  2. Step 2: Convert to fraction form
    24,510.72/36,778.23 = 9,719.32/x
  3. Step 3: Cross multiply
    24,510.72x = 36,778.23 × 9,719.32
  4. Step 4: Simplify right side
    24,510.72x = 357,459,386.40
  5. Step 5: Solve for x
    x = 357,459,386.40/24,510.72
  6. Step 6: Final answer
    x = 14,583.80

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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.