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Finding the Fourth Proportional to 15,208.39, 22,813.59 and 7,312.57

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Solution

The fourth proportional to 15,208.39, 22,813.59 and 7,312.57 is: 10,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.39 : 22,813.59 = 7,312.57 : x
  2. Step 2: Convert to fraction form
    15,208.39/22,813.59 = 7,312.57/x
  3. Step 3: Cross multiply
    15,208.39x = 22,813.59 × 7,312.57
  4. Step 4: Simplify right side
    15,208.39x = 166,825,973.83
  5. Step 5: Solve for x
    x = 166,825,973.83/15,208.39
  6. Step 6: Final answer
    x = 10,969.34

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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.