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Finding the Fourth Proportional to 19,671.84, 29,515.20 and 7,988.16

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Solution

The fourth proportional to 19,671.84, 29,515.20 and 7,988.16 is: 11,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.84 : 29,515.20 = 7,988.16 : x
  2. Step 2: Convert to fraction form
    19,671.84/29,515.20 = 7,988.16/x
  3. Step 3: Cross multiply
    19,671.84x = 29,515.20 × 7,988.16
  4. Step 4: Simplify right side
    19,671.84x = 235,772,140.03
  5. Step 5: Solve for x
    x = 235,772,140.03/19,671.84
  6. Step 6: Final answer
    x = 11,985.26

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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.