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Finding the Fourth Proportional to 12,870.92, 17,762.24 and 7,205.48

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Solution

The fourth proportional to 12,870.92, 17,762.24 and 7,205.48 is: 9,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.92 : 17,762.24 = 7,205.48 : x
  2. Step 2: Convert to fraction form
    12,870.92/17,762.24 = 7,205.48/x
  3. Step 3: Cross multiply
    12,870.92x = 17,762.24 × 7,205.48
  4. Step 4: Simplify right side
    12,870.92x = 127,985,465.08
  5. Step 5: Solve for x
    x = 127,985,465.08/12,870.92
  6. Step 6: Final answer
    x = 9,943.77

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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.