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Finding the Fourth Proportional to 22,915.71, 34,386.17 and 9,598.26

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Solution

The fourth proportional to 22,915.71, 34,386.17 and 9,598.26 is: 14,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.71 : 34,386.17 = 9,598.26 : x
  2. Step 2: Convert to fraction form
    22,915.71/34,386.17 = 9,598.26/x
  3. Step 3: Cross multiply
    22,915.71x = 34,386.17 × 9,598.26
  4. Step 4: Simplify right side
    22,915.71x = 330,047,352.07
  5. Step 5: Solve for x
    x = 330,047,352.07/22,915.71
  6. Step 6: Final answer
    x = 14,402.67

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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.