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Finding the Fourth Proportional to 15,784.40, 23,702.20 and 11,432.40

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Solution

The fourth proportional to 15,784.40, 23,702.20 and 11,432.40 is: 17,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.40 : 23,702.20 = 11,432.40 : x
  2. Step 2: Convert to fraction form
    15,784.40/23,702.20 = 11,432.40/x
  3. Step 3: Cross multiply
    15,784.40x = 23,702.20 × 11,432.40
  4. Step 4: Simplify right side
    15,784.40x = 270,973,031.28
  5. Step 5: Solve for x
    x = 270,973,031.28/15,784.40
  6. Step 6: Final answer
    x = 17,167.14

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1.5x scale

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.