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Finding the Fourth Proportional to 15,312, 22,971.84 and 4,368

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Solution

The fourth proportional to 15,312, 22,971.84 and 4,368 is: 6,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 22,971.84 = 4,368 : x
  2. Step 2: Convert to fraction form
    15,312/22,971.84 = 4,368/x
  3. Step 3: Cross multiply
    15,312x = 22,971.84 × 4,368
  4. Step 4: Simplify right side
    15,312x = 100,340,997.12
  5. Step 5: Solve for x
    x = 100,340,997.12/15,312
  6. Step 6: Final answer
    x = 6,553.10

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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.