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Finding the Fourth Proportional to 13,265.60, 19,878.35 and 8,875.20

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Solution

The fourth proportional to 13,265.60, 19,878.35 and 8,875.20 is: 13,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.60 : 19,878.35 = 8,875.20 : x
  2. Step 2: Convert to fraction form
    13,265.60/19,878.35 = 8,875.20/x
  3. Step 3: Cross multiply
    13,265.60x = 19,878.35 × 8,875.20
  4. Step 4: Simplify right side
    13,265.60x = 176,424,331.92
  5. Step 5: Solve for x
    x = 176,424,331.92/13,265.60
  6. Step 6: Final answer
    x = 13,299.39

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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.