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Finding the Fourth Proportional to 23,827.60, 35,730.60 and 9,031.60

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Solution

The fourth proportional to 23,827.60, 35,730.60 and 9,031.60 is: 13,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.60 : 35,730.60 = 9,031.60 : x
  2. Step 2: Convert to fraction form
    23,827.60/35,730.60 = 9,031.60/x
  3. Step 3: Cross multiply
    23,827.60x = 35,730.60 × 9,031.60
  4. Step 4: Simplify right side
    23,827.60x = 322,704,486.96
  5. Step 5: Solve for x
    x = 322,704,486.96/23,827.60
  6. Step 6: Final answer
    x = 13,543.31

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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.