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Finding the Fourth Proportional to 28,514.16, 42,823.08 and 24,842.16

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Solution

The fourth proportional to 28,514.16, 42,823.08 and 24,842.16 is: 37,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.16 : 42,823.08 = 24,842.16 : x
  2. Step 2: Convert to fraction form
    28,514.16/42,823.08 = 24,842.16/x
  3. Step 3: Cross multiply
    28,514.16x = 42,823.08 × 24,842.16
  4. Step 4: Simplify right side
    28,514.16x = 1,063,817,805.05
  5. Step 5: Solve for x
    x = 1,063,817,805.05/28,514.16
  6. Step 6: Final answer
    x = 37,308.40

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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.