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Finding the Fourth Proportional to 13,266.46, 19,904.01 and 6,341.50

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Solution

The fourth proportional to 13,266.46, 19,904.01 and 6,341.50 is: 9,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.46 : 19,904.01 = 6,341.50 : x
  2. Step 2: Convert to fraction form
    13,266.46/19,904.01 = 6,341.50/x
  3. Step 3: Cross multiply
    13,266.46x = 19,904.01 × 6,341.50
  4. Step 4: Simplify right side
    13,266.46x = 126,221,279.42
  5. Step 5: Solve for x
    x = 126,221,279.42/13,266.46
  6. Step 6: Final answer
    x = 9,514.32

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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.