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Finding the Fourth Proportional to 17,833.60, 24,610.08 and 9,875.80

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Solution

The fourth proportional to 17,833.60, 24,610.08 and 9,875.80 is: 13,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.60 : 24,610.08 = 9,875.80 : x
  2. Step 2: Convert to fraction form
    17,833.60/24,610.08 = 9,875.80/x
  3. Step 3: Cross multiply
    17,833.60x = 24,610.08 × 9,875.80
  4. Step 4: Simplify right side
    17,833.60x = 243,044,228.06
  5. Step 5: Solve for x
    x = 243,044,228.06/17,833.60
  6. Step 6: Final answer
    x = 13,628.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.