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Finding the Fourth Proportional to 13,534.74, 18,678.87 and 7,566.30

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Solution

The fourth proportional to 13,534.74, 18,678.87 and 7,566.30 is: 10,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.74 : 18,678.87 = 7,566.30 : x
  2. Step 2: Convert to fraction form
    13,534.74/18,678.87 = 7,566.30/x
  3. Step 3: Cross multiply
    13,534.74x = 18,678.87 × 7,566.30
  4. Step 4: Simplify right side
    13,534.74x = 141,329,934.08
  5. Step 5: Solve for x
    x = 141,329,934.08/13,534.74
  6. Step 6: Final answer
    x = 10,442.01

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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.