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Finding the Fourth Proportional to 15,880.70, 21,865.36 and 13,485.93

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Solution

The fourth proportional to 15,880.70, 21,865.36 and 13,485.93 is: 18,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.70 : 21,865.36 = 13,485.93 : x
  2. Step 2: Convert to fraction form
    15,880.70/21,865.36 = 13,485.93/x
  3. Step 3: Cross multiply
    15,880.70x = 21,865.36 × 13,485.93
  4. Step 4: Simplify right side
    15,880.70x = 294,874,714.38
  5. Step 5: Solve for x
    x = 294,874,714.38/15,880.70
  6. Step 6: Final answer
    x = 18,568.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.