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Finding the Fourth Proportional to 21,706.58, 32,564.19 and 6,915.02

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Solution

The fourth proportional to 21,706.58, 32,564.19 and 6,915.02 is: 10,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.58 : 32,564.19 = 6,915.02 : x
  2. Step 2: Convert to fraction form
    21,706.58/32,564.19 = 6,915.02/x
  3. Step 3: Cross multiply
    21,706.58x = 32,564.19 × 6,915.02
  4. Step 4: Simplify right side
    21,706.58x = 225,182,025.13
  5. Step 5: Solve for x
    x = 225,182,025.13/21,706.58
  6. Step 6: Final answer
    x = 10,373.91

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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.