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Finding the Fourth Proportional to 24,312.64, 36,470.40 and 7,673.20

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Solution

The fourth proportional to 24,312.64, 36,470.40 and 7,673.20 is: 11,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.64 : 36,470.40 = 7,673.20 : x
  2. Step 2: Convert to fraction form
    24,312.64/36,470.40 = 7,673.20/x
  3. Step 3: Cross multiply
    24,312.64x = 36,470.40 × 7,673.20
  4. Step 4: Simplify right side
    24,312.64x = 279,844,673.28
  5. Step 5: Solve for x
    x = 279,844,673.28/24,312.64
  6. Step 6: Final answer
    x = 11,510.25

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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.