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Finding the Fourth Proportional to 13,565.49, 18,720.16 and 7,597.11

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Solution

The fourth proportional to 13,565.49, 18,720.16 and 7,597.11 is: 10,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.49 : 18,720.16 = 7,597.11 : x
  2. Step 2: Convert to fraction form
    13,565.49/18,720.16 = 7,597.11/x
  3. Step 3: Cross multiply
    13,565.49x = 18,720.16 × 7,597.11
  4. Step 4: Simplify right side
    13,565.49x = 142,219,095.74
  5. Step 5: Solve for x
    x = 142,219,095.74/13,565.49
  6. Step 6: Final answer
    x = 10,483.89

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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.