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Finding the Fourth Proportional to 28,454.36, 42,674.16 and 8,459.16

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Solution

The fourth proportional to 28,454.36, 42,674.16 and 8,459.16 is: 12,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,454.36 : 42,674.16 = 8,459.16 : x
  2. Step 2: Convert to fraction form
    28,454.36/42,674.16 = 8,459.16/x
  3. Step 3: Cross multiply
    28,454.36x = 42,674.16 × 8,459.16
  4. Step 4: Simplify right side
    28,454.36x = 360,987,547.31
  5. Step 5: Solve for x
    x = 360,987,547.31/28,454.36
  6. Step 6: Final answer
    x = 12,686.55

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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.