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Finding the Fourth Proportional to 12,416.74, 17,159.68 and 10,175.08

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Solution

The fourth proportional to 12,416.74, 17,159.68 and 10,175.08 is: 14,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.74 : 17,159.68 = 10,175.08 : x
  2. Step 2: Convert to fraction form
    12,416.74/17,159.68 = 10,175.08/x
  3. Step 3: Cross multiply
    12,416.74x = 17,159.68 × 10,175.08
  4. Step 4: Simplify right side
    12,416.74x = 174,601,116.77
  5. Step 5: Solve for x
    x = 174,601,116.77/12,416.74
  6. Step 6: Final answer
    x = 14,061.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.