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Finding the Fourth Proportional to 13,785.88, 19,024.92 and 7,817.40

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Solution

The fourth proportional to 13,785.88, 19,024.92 and 7,817.40 is: 10,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.88 : 19,024.92 = 7,817.40 : x
  2. Step 2: Convert to fraction form
    13,785.88/19,024.92 = 7,817.40/x
  3. Step 3: Cross multiply
    13,785.88x = 19,024.92 × 7,817.40
  4. Step 4: Simplify right side
    13,785.88x = 148,725,409.61
  5. Step 5: Solve for x
    x = 148,725,409.61/13,785.88
  6. Step 6: Final answer
    x = 10,788.24

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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.