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Finding the Fourth Proportional to 12,602.86, 17,389.89 and 7,298.14

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Solution

The fourth proportional to 12,602.86, 17,389.89 and 7,298.14 is: 10,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.86 : 17,389.89 = 7,298.14 : x
  2. Step 2: Convert to fraction form
    12,602.86/17,389.89 = 7,298.14/x
  3. Step 3: Cross multiply
    12,602.86x = 17,389.89 × 7,298.14
  4. Step 4: Simplify right side
    12,602.86x = 126,913,851.80
  5. Step 5: Solve for x
    x = 126,913,851.80/12,602.86
  6. Step 6: Final answer
    x = 10,070.24

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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.