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Finding the Fourth Proportional to 23,497.02, 35,252.84 and 7,702.18

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Solution

The fourth proportional to 23,497.02, 35,252.84 and 7,702.18 is: 11,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.02 : 35,252.84 = 7,702.18 : x
  2. Step 2: Convert to fraction form
    23,497.02/35,252.84 = 7,702.18/x
  3. Step 3: Cross multiply
    23,497.02x = 35,252.84 × 7,702.18
  4. Step 4: Simplify right side
    23,497.02x = 271,523,719.19
  5. Step 5: Solve for x
    x = 271,523,719.19/23,497.02
  6. Step 6: Final answer
    x = 11,555.67

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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.