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Finding the Fourth Proportional to 15,782.70, 23,678.02 and 4,538.06

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Solution

The fourth proportional to 15,782.70, 23,678.02 and 4,538.06 is: 6,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.70 : 23,678.02 = 4,538.06 : x
  2. Step 2: Convert to fraction form
    15,782.70/23,678.02 = 4,538.06/x
  3. Step 3: Cross multiply
    15,782.70x = 23,678.02 × 4,538.06
  4. Step 4: Simplify right side
    15,782.70x = 107,452,275.44
  5. Step 5: Solve for x
    x = 107,452,275.44/15,782.70
  6. Step 6: Final answer
    x = 6,808.23

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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.