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Finding the Fourth Proportional to 10,157.51, 15,218.82 and 9,130.34

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Solution

The fourth proportional to 10,157.51, 15,218.82 and 9,130.34 is: 13,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.51 : 15,218.82 = 9,130.34 : x
  2. Step 2: Convert to fraction form
    10,157.51/15,218.82 = 9,130.34/x
  3. Step 3: Cross multiply
    10,157.51x = 15,218.82 × 9,130.34
  4. Step 4: Simplify right side
    10,157.51x = 138,952,924.90
  5. Step 5: Solve for x
    x = 138,952,924.90/10,157.51
  6. Step 6: Final answer
    x = 13,679.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.