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Finding the Fourth Proportional to 13,785.48, 19,024.11 and 7,497.90

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Solution

The fourth proportional to 13,785.48, 19,024.11 and 7,497.90 is: 10,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.48 : 19,024.11 = 7,497.90 : x
  2. Step 2: Convert to fraction form
    13,785.48/19,024.11 = 7,497.90/x
  3. Step 3: Cross multiply
    13,785.48x = 19,024.11 × 7,497.90
  4. Step 4: Simplify right side
    13,785.48x = 142,640,874.37
  5. Step 5: Solve for x
    x = 142,640,874.37/13,785.48
  6. Step 6: Final answer
    x = 10,347.18

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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.