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Finding the Fourth Proportional to 12,527.24, 17,288.40 and 7,222.40

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Solution

The fourth proportional to 12,527.24, 17,288.40 and 7,222.40 is: 9,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.24 : 17,288.40 = 7,222.40 : x
  2. Step 2: Convert to fraction form
    12,527.24/17,288.40 = 7,222.40/x
  3. Step 3: Cross multiply
    12,527.24x = 17,288.40 × 7,222.40
  4. Step 4: Simplify right side
    12,527.24x = 124,863,740.16
  5. Step 5: Solve for x
    x = 124,863,740.16/12,527.24
  6. Step 6: Final answer
    x = 9,967.38

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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.