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Finding the Fourth Proportional to 29,196, 40,291.44 and 15,948

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Solution

The fourth proportional to 29,196, 40,291.44 and 15,948 is: 22,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 40,291.44 = 15,948 : x
  2. Step 2: Convert to fraction form
    29,196/40,291.44 = 15,948/x
  3. Step 3: Cross multiply
    29,196x = 40,291.44 × 15,948
  4. Step 4: Simplify right side
    29,196x = 642,567,885.12
  5. Step 5: Solve for x
    x = 642,567,885.12/29,196
  6. Step 6: Final answer
    x = 22,008.76

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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.