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Finding the Fourth Proportional to 15,653.10, 23,475.93 and 6,293.15

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Solution

The fourth proportional to 15,653.10, 23,475.93 and 6,293.15 is: 9,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.10 : 23,475.93 = 6,293.15 : x
  2. Step 2: Convert to fraction form
    15,653.10/23,475.93 = 6,293.15/x
  3. Step 3: Cross multiply
    15,653.10x = 23,475.93 × 6,293.15
  4. Step 4: Simplify right side
    15,653.10x = 147,737,431.50
  5. Step 5: Solve for x
    x = 147,737,431.50/15,653.10
  6. Step 6: Final answer
    x = 9,438.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.