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Finding the Fourth Proportional to 12,673.68, 17,490.76 and 7,368.16

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Solution

The fourth proportional to 12,673.68, 17,490.76 and 7,368.16 is: 10,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.68 : 17,490.76 = 7,368.16 : x
  2. Step 2: Convert to fraction form
    12,673.68/17,490.76 = 7,368.16/x
  3. Step 3: Cross multiply
    12,673.68x = 17,490.76 × 7,368.16
  4. Step 4: Simplify right side
    12,673.68x = 128,874,718.20
  5. Step 5: Solve for x
    x = 128,874,718.20/12,673.68
  6. Step 6: Final answer
    x = 10,168.69

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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.