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Finding the Fourth Proportional to 25,522.65, 38,283.99 and 9,724

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Solution

The fourth proportional to 25,522.65, 38,283.99 and 9,724 is: 14,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.65 : 38,283.99 = 9,724 : x
  2. Step 2: Convert to fraction form
    25,522.65/38,283.99 = 9,724/x
  3. Step 3: Cross multiply
    25,522.65x = 38,283.99 × 9,724
  4. Step 4: Simplify right side
    25,522.65x = 372,273,518.76
  5. Step 5: Solve for x
    x = 372,273,518.76/25,522.65
  6. Step 6: Final answer
    x = 14,586.01

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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.