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Finding the Fourth Proportional to 15,690.40, 23,539.02 and 7,797.16

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Solution

The fourth proportional to 15,690.40, 23,539.02 and 7,797.16 is: 11,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690.40 : 23,539.02 = 7,797.16 : x
  2. Step 2: Convert to fraction form
    15,690.40/23,539.02 = 7,797.16/x
  3. Step 3: Cross multiply
    15,690.40x = 23,539.02 × 7,797.16
  4. Step 4: Simplify right side
    15,690.40x = 183,537,505.18
  5. Step 5: Solve for x
    x = 183,537,505.18/15,690.40
  6. Step 6: Final answer
    x = 11,697.44

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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.