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Finding the Fourth Proportional to 12,878.16, 19,323.72 and 9,597.84

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Solution

The fourth proportional to 12,878.16, 19,323.72 and 9,597.84 is: 14,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.16 : 19,323.72 = 9,597.84 : x
  2. Step 2: Convert to fraction form
    12,878.16/19,323.72 = 9,597.84/x
  3. Step 3: Cross multiply
    12,878.16x = 19,323.72 × 9,597.84
  4. Step 4: Simplify right side
    12,878.16x = 185,465,972.76
  5. Step 5: Solve for x
    x = 185,465,972.76/12,878.16
  6. Step 6: Final answer
    x = 14,401.59

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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.