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Finding the Fourth Proportional to 13,987.34, 19,302.54 and 7,613.90

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Solution

The fourth proportional to 13,987.34, 19,302.54 and 7,613.90 is: 10,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.34 : 19,302.54 = 7,613.90 : x
  2. Step 2: Convert to fraction form
    13,987.34/19,302.54 = 7,613.90/x
  3. Step 3: Cross multiply
    13,987.34x = 19,302.54 × 7,613.90
  4. Step 4: Simplify right side
    13,987.34x = 146,967,609.31
  5. Step 5: Solve for x
    x = 146,967,609.31/13,987.34
  6. Step 6: Final answer
    x = 10,507.19

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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.