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Finding the Fourth Proportional to 15,825.18, 23,746.03 and 11,478.52

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Solution

The fourth proportional to 15,825.18, 23,746.03 and 11,478.52 is: 17,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.18 : 23,746.03 = 11,478.52 : x
  2. Step 2: Convert to fraction form
    15,825.18/23,746.03 = 11,478.52/x
  3. Step 3: Cross multiply
    15,825.18x = 23,746.03 × 11,478.52
  4. Step 4: Simplify right side
    15,825.18x = 272,569,281.26
  5. Step 5: Solve for x
    x = 272,569,281.26/15,825.18
  6. Step 6: Final answer
    x = 17,223.77

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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.