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Finding the Fourth Proportional to 22,276, 30,740.88 and 12,340

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Solution

The fourth proportional to 22,276, 30,740.88 and 12,340 is: 17,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276 : 30,740.88 = 12,340 : x
  2. Step 2: Convert to fraction form
    22,276/30,740.88 = 12,340/x
  3. Step 3: Cross multiply
    22,276x = 30,740.88 × 12,340
  4. Step 4: Simplify right side
    22,276x = 379,342,459.20
  5. Step 5: Solve for x
    x = 379,342,459.20/22,276
  6. Step 6: Final answer
    x = 17,029.20

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