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Finding the Fourth Proportional to 16,417.20, 22,657.44 and 10,048.08

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Solution

The fourth proportional to 16,417.20, 22,657.44 and 10,048.08 is: 13,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.20 : 22,657.44 = 10,048.08 : x
  2. Step 2: Convert to fraction form
    16,417.20/22,657.44 = 10,048.08/x
  3. Step 3: Cross multiply
    16,417.20x = 22,657.44 × 10,048.08
  4. Step 4: Simplify right side
    16,417.20x = 227,663,769.72
  5. Step 5: Solve for x
    x = 227,663,769.72/16,417.20
  6. Step 6: Final answer
    x = 13,867.39

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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.