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Finding the Fourth Proportional to 23,352, 32,225.07 and 13,143.60

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Solution

The fourth proportional to 23,352, 32,225.07 and 13,143.60 is: 18,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352 : 32,225.07 = 13,143.60 : x
  2. Step 2: Convert to fraction form
    23,352/32,225.07 = 13,143.60/x
  3. Step 3: Cross multiply
    23,352x = 32,225.07 × 13,143.60
  4. Step 4: Simplify right side
    23,352x = 423,553,430.05
  5. Step 5: Solve for x
    x = 423,553,430.05/23,352
  6. Step 6: Final answer
    x = 18,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.