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Finding the Fourth Proportional to 15,111.84, 22,642.17 and 9,256.23

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Solution

The fourth proportional to 15,111.84, 22,642.17 and 9,256.23 is: 13,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.84 : 22,642.17 = 9,256.23 : x
  2. Step 2: Convert to fraction form
    15,111.84/22,642.17 = 9,256.23/x
  3. Step 3: Cross multiply
    15,111.84x = 22,642.17 × 9,256.23
  4. Step 4: Simplify right side
    15,111.84x = 209,581,133.22
  5. Step 5: Solve for x
    x = 209,581,133.22/15,111.84
  6. Step 6: Final answer
    x = 13,868.67

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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.