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Finding the Fourth Proportional to 13,557.42, 18,710.07 and 7,589.46

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Solution

The fourth proportional to 13,557.42, 18,710.07 and 7,589.46 is: 10,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.42 : 18,710.07 = 7,589.46 : x
  2. Step 2: Convert to fraction form
    13,557.42/18,710.07 = 7,589.46/x
  3. Step 3: Cross multiply
    13,557.42x = 18,710.07 × 7,589.46
  4. Step 4: Simplify right side
    13,557.42x = 141,999,327.86
  5. Step 5: Solve for x
    x = 141,999,327.86/13,557.42
  6. Step 6: Final answer
    x = 10,473.92

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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.