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Finding the Fourth Proportional to 12,702.37, 17,527.61 and 7,325.01

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Solution

The fourth proportional to 12,702.37, 17,527.61 and 7,325.01 is: 10,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.37 : 17,527.61 = 7,325.01 : x
  2. Step 2: Convert to fraction form
    12,702.37/17,527.61 = 7,325.01/x
  3. Step 3: Cross multiply
    12,702.37x = 17,527.61 × 7,325.01
  4. Step 4: Simplify right side
    12,702.37x = 128,389,830.89
  5. Step 5: Solve for x
    x = 128,389,830.89/12,702.37
  6. Step 6: Final answer
    x = 10,107.55

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