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Finding the Fourth Proportional to 12,613.12, 17,386.24 and 9,619.20

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Solution

The fourth proportional to 12,613.12, 17,386.24 and 9,619.20 is: 13,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.12 : 17,386.24 = 9,619.20 : x
  2. Step 2: Convert to fraction form
    12,613.12/17,386.24 = 9,619.20/x
  3. Step 3: Cross multiply
    12,613.12x = 17,386.24 × 9,619.20
  4. Step 4: Simplify right side
    12,613.12x = 167,241,719.81
  5. Step 5: Solve for x
    x = 167,241,719.81/12,613.12
  6. Step 6: Final answer
    x = 13,259.35

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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.