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Finding the Fourth Proportional to 23,223.71, 32,053.84 and 15,266.68

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Solution

The fourth proportional to 23,223.71, 32,053.84 and 15,266.68 is: 21,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.71 : 32,053.84 = 15,266.68 : x
  2. Step 2: Convert to fraction form
    23,223.71/32,053.84 = 15,266.68/x
  3. Step 3: Cross multiply
    23,223.71x = 32,053.84 × 15,266.68
  4. Step 4: Simplify right side
    23,223.71x = 489,355,599.75
  5. Step 5: Solve for x
    x = 489,355,599.75/23,223.71
  6. Step 6: Final answer
    x = 21,071.38

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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.