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Finding the Fourth Proportional to 17,506.08, 24,156 and 10,054.08

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Solution

The fourth proportional to 17,506.08, 24,156 and 10,054.08 is: 13,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.08 : 24,156 = 10,054.08 : x
  2. Step 2: Convert to fraction form
    17,506.08/24,156 = 10,054.08/x
  3. Step 3: Cross multiply
    17,506.08x = 24,156 × 10,054.08
  4. Step 4: Simplify right side
    17,506.08x = 242,866,356.48
  5. Step 5: Solve for x
    x = 242,866,356.48/17,506.08
  6. Step 6: Final answer
    x = 13,873.26

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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.