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Finding the Fourth Proportional to 15,628.12, 23,444 and 6,271.40

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Solution

The fourth proportional to 15,628.12, 23,444 and 6,271.40 is: 9,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.12 : 23,444 = 6,271.40 : x
  2. Step 2: Convert to fraction form
    15,628.12/23,444 = 6,271.40/x
  3. Step 3: Cross multiply
    15,628.12x = 23,444 × 6,271.40
  4. Step 4: Simplify right side
    15,628.12x = 147,026,701.60
  5. Step 5: Solve for x
    x = 147,026,701.60/15,628.12
  6. Step 6: Final answer
    x = 9,407.83

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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.