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Finding the Fourth Proportional to 13,547.32, 20,314.50 and 5,751.88

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Solution

The fourth proportional to 13,547.32, 20,314.50 and 5,751.88 is: 8,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.32 : 20,314.50 = 5,751.88 : x
  2. Step 2: Convert to fraction form
    13,547.32/20,314.50 = 5,751.88/x
  3. Step 3: Cross multiply
    13,547.32x = 20,314.50 × 5,751.88
  4. Step 4: Simplify right side
    13,547.32x = 116,846,566.26
  5. Step 5: Solve for x
    x = 116,846,566.26/13,547.32
  6. Step 6: Final answer
    x = 8,625.07

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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.