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Finding the Fourth Proportional to 15,580, 23,373.84 and 4,636

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Solution

The fourth proportional to 15,580, 23,373.84 and 4,636 is: 6,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 23,373.84 = 4,636 : x
  2. Step 2: Convert to fraction form
    15,580/23,373.84 = 4,636/x
  3. Step 3: Cross multiply
    15,580x = 23,373.84 × 4,636
  4. Step 4: Simplify right side
    15,580x = 108,361,122.24
  5. Step 5: Solve for x
    x = 108,361,122.24/15,580
  6. Step 6: Final answer
    x = 6,955.14

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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.