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Finding the Fourth Proportional to 24,706.68, 34,094.88 and 13,528.68

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Solution

The fourth proportional to 24,706.68, 34,094.88 and 13,528.68 is: 18,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.68 : 34,094.88 = 13,528.68 : x
  2. Step 2: Convert to fraction form
    24,706.68/34,094.88 = 13,528.68/x
  3. Step 3: Cross multiply
    24,706.68x = 34,094.88 × 13,528.68
  4. Step 4: Simplify right side
    24,706.68x = 461,258,721.16
  5. Step 5: Solve for x
    x = 461,258,721.16/24,706.68
  6. Step 6: Final answer
    x = 18,669.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.