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Finding the Fourth Proportional to 17,077.60, 25,619.10 and 6,547.20

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Solution

The fourth proportional to 17,077.60, 25,619.10 and 6,547.20 is: 9,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.60 : 25,619.10 = 6,547.20 : x
  2. Step 2: Convert to fraction form
    17,077.60/25,619.10 = 6,547.20/x
  3. Step 3: Cross multiply
    17,077.60x = 25,619.10 × 6,547.20
  4. Step 4: Simplify right side
    17,077.60x = 167,733,371.52
  5. Step 5: Solve for x
    x = 167,733,371.52/17,077.60
  6. Step 6: Final answer
    x = 9,821.84

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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.