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Finding the Fourth Proportional to 15,681.96, 23,497.02 and 9,824.04

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Solution

The fourth proportional to 15,681.96, 23,497.02 and 9,824.04 is: 14,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.96 : 23,497.02 = 9,824.04 : x
  2. Step 2: Convert to fraction form
    15,681.96/23,497.02 = 9,824.04/x
  3. Step 3: Cross multiply
    15,681.96x = 23,497.02 × 9,824.04
  4. Step 4: Simplify right side
    15,681.96x = 230,835,664.36
  5. Step 5: Solve for x
    x = 230,835,664.36/15,681.96
  6. Step 6: Final answer
    x = 14,719.82

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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.