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Finding the Fourth Proportional to 15,244.12, 22,803 and 14,311

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Solution

The fourth proportional to 15,244.12, 22,803 and 14,311 is: 21,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,244.12 : 22,803 = 14,311 : x
  2. Step 2: Convert to fraction form
    15,244.12/22,803 = 14,311/x
  3. Step 3: Cross multiply
    15,244.12x = 22,803 × 14,311
  4. Step 4: Simplify right side
    15,244.12x = 326,333,733
  5. Step 5: Solve for x
    x = 326,333,733/15,244.12
  6. Step 6: Final answer
    x = 21,407.19

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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.