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Finding the Fourth Proportional to 24,422.80, 36,547.80 and 16,646.80

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Solution

The fourth proportional to 24,422.80, 36,547.80 and 16,646.80 is: 24,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.80 : 36,547.80 = 16,646.80 : x
  2. Step 2: Convert to fraction form
    24,422.80/36,547.80 = 16,646.80/x
  3. Step 3: Cross multiply
    24,422.80x = 36,547.80 × 16,646.80
  4. Step 4: Simplify right side
    24,422.80x = 608,403,917.04
  5. Step 5: Solve for x
    x = 608,403,917.04/24,422.80
  6. Step 6: Final answer
    x = 24,911.31

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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.