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Finding the Fourth Proportional to 15,838.72, 23,742.40 and 7,504

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Solution

The fourth proportional to 15,838.72, 23,742.40 and 7,504 is: 11,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.72 : 23,742.40 = 7,504 : x
  2. Step 2: Convert to fraction form
    15,838.72/23,742.40 = 7,504/x
  3. Step 3: Cross multiply
    15,838.72x = 23,742.40 × 7,504
  4. Step 4: Simplify right side
    15,838.72x = 178,162,969.60
  5. Step 5: Solve for x
    x = 178,162,969.60/15,838.72
  6. Step 6: Final answer
    x = 11,248.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.