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Finding the Fourth Proportional to 24,386.48, 33,656.68 and 14,038

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Solution

The fourth proportional to 24,386.48, 33,656.68 and 14,038 is: 19,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.48 : 33,656.68 = 14,038 : x
  2. Step 2: Convert to fraction form
    24,386.48/33,656.68 = 14,038/x
  3. Step 3: Cross multiply
    24,386.48x = 33,656.68 × 14,038
  4. Step 4: Simplify right side
    24,386.48x = 472,472,473.84
  5. Step 5: Solve for x
    x = 472,472,473.84/24,386.48
  6. Step 6: Final answer
    x = 19,374.36

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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.