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Finding the Fourth Proportional to 15,758.64, 23,596.20 and 9,510.30

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Solution

The fourth proportional to 15,758.64, 23,596.20 and 9,510.30 is: 14,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.64 : 23,596.20 = 9,510.30 : x
  2. Step 2: Convert to fraction form
    15,758.64/23,596.20 = 9,510.30/x
  3. Step 3: Cross multiply
    15,758.64x = 23,596.20 × 9,510.30
  4. Step 4: Simplify right side
    15,758.64x = 224,406,940.86
  5. Step 5: Solve for x
    x = 224,406,940.86/15,758.64
  6. Step 6: Final answer
    x = 14,240.25

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