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Finding the Fourth Proportional to 15,741.01, 23,613.03 and 6,971.14

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Solution

The fourth proportional to 15,741.01, 23,613.03 and 6,971.14 is: 10,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.01 : 23,613.03 = 6,971.14 : x
  2. Step 2: Convert to fraction form
    15,741.01/23,613.03 = 6,971.14/x
  3. Step 3: Cross multiply
    15,741.01x = 23,613.03 × 6,971.14
  4. Step 4: Simplify right side
    15,741.01x = 164,609,737.95
  5. Step 5: Solve for x
    x = 164,609,737.95/15,741.01
  6. Step 6: Final answer
    x = 10,457.38

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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.