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Finding the Fourth Proportional to 15,126.51, 20,873.01 and 8,411.07

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Solution

The fourth proportional to 15,126.51, 20,873.01 and 8,411.07 is: 11,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.51 : 20,873.01 = 8,411.07 : x
  2. Step 2: Convert to fraction form
    15,126.51/20,873.01 = 8,411.07/x
  3. Step 3: Cross multiply
    15,126.51x = 20,873.01 × 8,411.07
  4. Step 4: Simplify right side
    15,126.51x = 175,564,348.22
  5. Step 5: Solve for x
    x = 175,564,348.22/15,126.51
  6. Step 6: Final answer
    x = 11,606.40

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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.