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Finding the Fourth Proportional to 24,902, 34,364.76 and 14,966

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Solution

The fourth proportional to 24,902, 34,364.76 and 14,966 is: 20,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902 : 34,364.76 = 14,966 : x
  2. Step 2: Convert to fraction form
    24,902/34,364.76 = 14,966/x
  3. Step 3: Cross multiply
    24,902x = 34,364.76 × 14,966
  4. Step 4: Simplify right side
    24,902x = 514,302,998.16
  5. Step 5: Solve for x
    x = 514,302,998.16/24,902
  6. Step 6: Final answer
    x = 20,653.08

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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.