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Finding the Fourth Proportional to 15,707.16, 21,675.48 and 8,633.40

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Solution

The fourth proportional to 15,707.16, 21,675.48 and 8,633.40 is: 11,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.16 : 21,675.48 = 8,633.40 : x
  2. Step 2: Convert to fraction form
    15,707.16/21,675.48 = 8,633.40/x
  3. Step 3: Cross multiply
    15,707.16x = 21,675.48 × 8,633.40
  4. Step 4: Simplify right side
    15,707.16x = 187,133,089.03
  5. Step 5: Solve for x
    x = 187,133,089.03/15,707.16
  6. Step 6: Final answer
    x = 11,913.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.