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Finding the Fourth Proportional to 15,594.12, 23,397 and 9,358.61

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Solution

The fourth proportional to 15,594.12, 23,397 and 9,358.61 is: 14,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.12 : 23,397 = 9,358.61 : x
  2. Step 2: Convert to fraction form
    15,594.12/23,397 = 9,358.61/x
  3. Step 3: Cross multiply
    15,594.12x = 23,397 × 9,358.61
  4. Step 4: Simplify right side
    15,594.12x = 218,963,281.19
  5. Step 5: Solve for x
    x = 218,963,281.19/15,594.12
  6. Step 6: Final answer
    x = 14,041.40

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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.