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Finding the Fourth Proportional to 12,314.48, 16,989.80 and 7,536.65

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Solution

The fourth proportional to 12,314.48, 16,989.80 and 7,536.65 is: 10,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.48 : 16,989.80 = 7,536.65 : x
  2. Step 2: Convert to fraction form
    12,314.48/16,989.80 = 7,536.65/x
  3. Step 3: Cross multiply
    12,314.48x = 16,989.80 × 7,536.65
  4. Step 4: Simplify right side
    12,314.48x = 128,046,095.93
  5. Step 5: Solve for x
    x = 128,046,095.93/12,314.48
  6. Step 6: Final answer
    x = 10,398.01

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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.