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Finding the Fourth Proportional to 13,241.76, 19,875.60 and 9,012

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Solution

The fourth proportional to 13,241.76, 19,875.60 and 9,012 is: 13,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.76 : 19,875.60 = 9,012 : x
  2. Step 2: Convert to fraction form
    13,241.76/19,875.60 = 9,012/x
  3. Step 3: Cross multiply
    13,241.76x = 19,875.60 × 9,012
  4. Step 4: Simplify right side
    13,241.76x = 179,118,907.20
  5. Step 5: Solve for x
    x = 179,118,907.20/13,241.76
  6. Step 6: Final answer
    x = 13,526.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.