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Finding the Fourth Proportional to 23,903.70, 32,987.70 and 13,294

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Solution

The fourth proportional to 23,903.70, 32,987.70 and 13,294 is: 18,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.70 : 32,987.70 = 13,294 : x
  2. Step 2: Convert to fraction form
    23,903.70/32,987.70 = 13,294/x
  3. Step 3: Cross multiply
    23,903.70x = 32,987.70 × 13,294
  4. Step 4: Simplify right side
    23,903.70x = 438,538,483.80
  5. Step 5: Solve for x
    x = 438,538,483.80/23,903.70
  6. Step 6: Final answer
    x = 18,346.05

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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.