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Finding the Fourth Proportional to 15,594.96, 23,366.04 and 9,426

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Solution

The fourth proportional to 15,594.96, 23,366.04 and 9,426 is: 14,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.96 : 23,366.04 = 9,426 : x
  2. Step 2: Convert to fraction form
    15,594.96/23,366.04 = 9,426/x
  3. Step 3: Cross multiply
    15,594.96x = 23,366.04 × 9,426
  4. Step 4: Simplify right side
    15,594.96x = 220,248,293.04
  5. Step 5: Solve for x
    x = 220,248,293.04/15,594.96
  6. Step 6: Final answer
    x = 14,123.04

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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.