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Finding the Fourth Proportional to 23,845.91, 32,897.07 and 14,409

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Solution

The fourth proportional to 23,845.91, 32,897.07 and 14,409 is: 19,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.91 : 32,897.07 = 14,409 : x
  2. Step 2: Convert to fraction form
    23,845.91/32,897.07 = 14,409/x
  3. Step 3: Cross multiply
    23,845.91x = 32,897.07 × 14,409
  4. Step 4: Simplify right side
    23,845.91x = 474,013,881.63
  5. Step 5: Solve for x
    x = 474,013,881.63/23,845.91
  6. Step 6: Final answer
    x = 19,878.21

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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.