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Finding the Fourth Proportional to 23,291.48, 32,127.54 and 13,853

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Solution

The fourth proportional to 23,291.48, 32,127.54 and 13,853 is: 19,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.48 : 32,127.54 = 13,853 : x
  2. Step 2: Convert to fraction form
    23,291.48/32,127.54 = 13,853/x
  3. Step 3: Cross multiply
    23,291.48x = 32,127.54 × 13,853
  4. Step 4: Simplify right side
    23,291.48x = 445,062,811.62
  5. Step 5: Solve for x
    x = 445,062,811.62/23,291.48
  6. Step 6: Final answer
    x = 19,108.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.