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Finding the Fourth Proportional to 15,880.68, 23,823.72 and 5,490

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Solution

The fourth proportional to 15,880.68, 23,823.72 and 5,490 is: 8,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.68 : 23,823.72 = 5,490 : x
  2. Step 2: Convert to fraction form
    15,880.68/23,823.72 = 5,490/x
  3. Step 3: Cross multiply
    15,880.68x = 23,823.72 × 5,490
  4. Step 4: Simplify right side
    15,880.68x = 130,792,222.80
  5. Step 5: Solve for x
    x = 130,792,222.80/15,880.68
  6. Step 6: Final answer
    x = 8,235.93

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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.