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Finding the Fourth Proportional to 21,001.76, 31,512.40 and 8,530.36

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Solution

The fourth proportional to 21,001.76, 31,512.40 and 8,530.36 is: 12,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.76 : 31,512.40 = 8,530.36 : x
  2. Step 2: Convert to fraction form
    21,001.76/31,512.40 = 8,530.36/x
  3. Step 3: Cross multiply
    21,001.76x = 31,512.40 × 8,530.36
  4. Step 4: Simplify right side
    21,001.76x = 268,812,116.46
  5. Step 5: Solve for x
    x = 268,812,116.46/21,001.76
  6. Step 6: Final answer
    x = 12,799.50

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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.