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Finding the Fourth Proportional to 12,490.32, 17,235.36 and 7,184.10

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Solution

The fourth proportional to 12,490.32, 17,235.36 and 7,184.10 is: 9,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.32 : 17,235.36 = 7,184.10 : x
  2. Step 2: Convert to fraction form
    12,490.32/17,235.36 = 7,184.10/x
  3. Step 3: Cross multiply
    12,490.32x = 17,235.36 × 7,184.10
  4. Step 4: Simplify right side
    12,490.32x = 123,820,549.78
  5. Step 5: Solve for x
    x = 123,820,549.78/12,490.32
  6. Step 6: Final answer
    x = 9,913.32

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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.