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Finding the Fourth Proportional to 28,547.59, 42,822.32 and 9,827.43

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Solution

The fourth proportional to 28,547.59, 42,822.32 and 9,827.43 is: 14,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.59 : 42,822.32 = 9,827.43 : x
  2. Step 2: Convert to fraction form
    28,547.59/42,822.32 = 9,827.43/x
  3. Step 3: Cross multiply
    28,547.59x = 42,822.32 × 9,827.43
  4. Step 4: Simplify right side
    28,547.59x = 420,833,197.80
  5. Step 5: Solve for x
    x = 420,833,197.80/28,547.59
  6. Step 6: Final answer
    x = 14,741.46

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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.