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Finding the Fourth Proportional to 13,565.84, 18,720.90 and 7,597.60

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Solution

The fourth proportional to 13,565.84, 18,720.90 and 7,597.60 is: 10,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.84 : 18,720.90 = 7,597.60 : x
  2. Step 2: Convert to fraction form
    13,565.84/18,720.90 = 7,597.60/x
  3. Step 3: Cross multiply
    13,565.84x = 18,720.90 × 7,597.60
  4. Step 4: Simplify right side
    13,565.84x = 142,233,909.84
  5. Step 5: Solve for x
    x = 142,233,909.84/13,565.84
  6. Step 6: Final answer
    x = 10,484.71

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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.