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Finding the Fourth Proportional to 15,836.08, 21,854 and 8,762.48

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Solution

The fourth proportional to 15,836.08, 21,854 and 8,762.48 is: 12,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.08 : 21,854 = 8,762.48 : x
  2. Step 2: Convert to fraction form
    15,836.08/21,854 = 8,762.48/x
  3. Step 3: Cross multiply
    15,836.08x = 21,854 × 8,762.48
  4. Step 4: Simplify right side
    15,836.08x = 191,495,237.92
  5. Step 5: Solve for x
    x = 191,495,237.92/15,836.08
  6. Step 6: Final answer
    x = 12,092.34

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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.