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Finding the Fourth Proportional to 23,459.53, 32,368.95 and 13,894.65

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Solution

The fourth proportional to 23,459.53, 32,368.95 and 13,894.65 is: 19,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459.53 : 32,368.95 = 13,894.65 : x
  2. Step 2: Convert to fraction form
    23,459.53/32,368.95 = 13,894.65/x
  3. Step 3: Cross multiply
    23,459.53x = 32,368.95 × 13,894.65
  4. Step 4: Simplify right side
    23,459.53x = 449,755,231.12
  5. Step 5: Solve for x
    x = 449,755,231.12/23,459.53
  6. Step 6: Final answer
    x = 19,171.54

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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.