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Finding the Fourth Proportional to 12,445.66, 17,116.14 and 9,897.81

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Solution

The fourth proportional to 12,445.66, 17,116.14 and 9,897.81 is: 13,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.66 : 17,116.14 = 9,897.81 : x
  2. Step 2: Convert to fraction form
    12,445.66/17,116.14 = 9,897.81/x
  3. Step 3: Cross multiply
    12,445.66x = 17,116.14 × 9,897.81
  4. Step 4: Simplify right side
    12,445.66x = 169,412,301.65
  5. Step 5: Solve for x
    x = 169,412,301.65/12,445.66
  6. Step 6: Final answer
    x = 13,612.16

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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.