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Finding the Fourth Proportional to 15,507.84, 23,261.22 and 6,742.77

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Solution

The fourth proportional to 15,507.84, 23,261.22 and 6,742.77 is: 10,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.84 : 23,261.22 = 6,742.77 : x
  2. Step 2: Convert to fraction form
    15,507.84/23,261.22 = 6,742.77/x
  3. Step 3: Cross multiply
    15,507.84x = 23,261.22 × 6,742.77
  4. Step 4: Simplify right side
    15,507.84x = 156,845,056.38
  5. Step 5: Solve for x
    x = 156,845,056.38/15,507.84
  6. Step 6: Final answer
    x = 10,113.92

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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.