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Finding the Fourth Proportional to 15,782.67, 23,677.35 and 4,690.11

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Solution

The fourth proportional to 15,782.67, 23,677.35 and 4,690.11 is: 7,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.67 : 23,677.35 = 4,690.11 : x
  2. Step 2: Convert to fraction form
    15,782.67/23,677.35 = 4,690.11/x
  3. Step 3: Cross multiply
    15,782.67x = 23,677.35 × 4,690.11
  4. Step 4: Simplify right side
    15,782.67x = 111,049,376.01
  5. Step 5: Solve for x
    x = 111,049,376.01/15,782.67
  6. Step 6: Final answer
    x = 7,036.16

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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.