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Finding the Fourth Proportional to 24,564, 33,898.56 and 13,386.24

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Solution

The fourth proportional to 24,564, 33,898.56 and 13,386.24 is: 18,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 33,898.56 = 13,386.24 : x
  2. Step 2: Convert to fraction form
    24,564/33,898.56 = 13,386.24/x
  3. Step 3: Cross multiply
    24,564x = 33,898.56 × 13,386.24
  4. Step 4: Simplify right side
    24,564x = 453,774,259.81
  5. Step 5: Solve for x
    x = 453,774,259.81/24,564
  6. Step 6: Final answer
    x = 18,473.14

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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.