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Finding the Fourth Proportional to 23,843.90, 32,894.31 and 14,407

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Solution

The fourth proportional to 23,843.90, 32,894.31 and 14,407 is: 19,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.90 : 32,894.31 = 14,407 : x
  2. Step 2: Convert to fraction form
    23,843.90/32,894.31 = 14,407/x
  3. Step 3: Cross multiply
    23,843.90x = 32,894.31 × 14,407
  4. Step 4: Simplify right side
    23,843.90x = 473,908,324.17
  5. Step 5: Solve for x
    x = 473,908,324.17/23,843.90
  6. Step 6: Final answer
    x = 19,875.45

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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.