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Finding the Fourth Proportional to 15,302.77, 22,955.27 and 6,409.17

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Solution

The fourth proportional to 15,302.77, 22,955.27 and 6,409.17 is: 9,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.77 : 22,955.27 = 6,409.17 : x
  2. Step 2: Convert to fraction form
    15,302.77/22,955.27 = 6,409.17/x
  3. Step 3: Cross multiply
    15,302.77x = 22,955.27 × 6,409.17
  4. Step 4: Simplify right side
    15,302.77x = 147,124,195.78
  5. Step 5: Solve for x
    x = 147,124,195.78/15,302.77
  6. Step 6: Final answer
    x = 9,614.22

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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.