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Finding the Fourth Proportional to 23,844.40, 32,895 and 14,407.50

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Solution

The fourth proportional to 23,844.40, 32,895 and 14,407.50 is: 19,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.40 : 32,895 = 14,407.50 : x
  2. Step 2: Convert to fraction form
    23,844.40/32,895 = 14,407.50/x
  3. Step 3: Cross multiply
    23,844.40x = 32,895 × 14,407.50
  4. Step 4: Simplify right side
    23,844.40x = 473,934,712.50
  5. Step 5: Solve for x
    x = 473,934,712.50/23,844.40
  6. Step 6: Final answer
    x = 19,876.14

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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.