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Finding the Fourth Proportional to 23,844, 32,904.72 and 15,460.50

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Solution

The fourth proportional to 23,844, 32,904.72 and 15,460.50 is: 21,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844 : 32,904.72 = 15,460.50 : x
  2. Step 2: Convert to fraction form
    23,844/32,904.72 = 15,460.50/x
  3. Step 3: Cross multiply
    23,844x = 32,904.72 × 15,460.50
  4. Step 4: Simplify right side
    23,844x = 508,723,423.56
  5. Step 5: Solve for x
    x = 508,723,423.56/23,844
  6. Step 6: Final answer
    x = 21,335.49

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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.