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Finding the Fourth Proportional to 15,782.90, 23,674.35 and 9,205.70

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Solution

The fourth proportional to 15,782.90, 23,674.35 and 9,205.70 is: 13,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.90 : 23,674.35 = 9,205.70 : x
  2. Step 2: Convert to fraction form
    15,782.90/23,674.35 = 9,205.70/x
  3. Step 3: Cross multiply
    15,782.90x = 23,674.35 × 9,205.70
  4. Step 4: Simplify right side
    15,782.90x = 217,938,963.80
  5. Step 5: Solve for x
    x = 217,938,963.80/15,782.90
  6. Step 6: Final answer
    x = 13,808.55

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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.