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Finding the Fourth Proportional to 15,742.51, 21,722.35 and 8,935.47

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Solution

The fourth proportional to 15,742.51, 21,722.35 and 8,935.47 is: 12,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.51 : 21,722.35 = 8,935.47 : x
  2. Step 2: Convert to fraction form
    15,742.51/21,722.35 = 8,935.47/x
  3. Step 3: Cross multiply
    15,742.51x = 21,722.35 × 8,935.47
  4. Step 4: Simplify right side
    15,742.51x = 194,099,406.75
  5. Step 5: Solve for x
    x = 194,099,406.75/15,742.51
  6. Step 6: Final answer
    x = 12,329.64

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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.