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Finding the Fourth Proportional to 15,376.68, 21,231.18 and 9,416.46

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Solution

The fourth proportional to 15,376.68, 21,231.18 and 9,416.46 is: 13,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,376.68 : 21,231.18 = 9,416.46 : x
  2. Step 2: Convert to fraction form
    15,376.68/21,231.18 = 9,416.46/x
  3. Step 3: Cross multiply
    15,376.68x = 21,231.18 × 9,416.46
  4. Step 4: Simplify right side
    15,376.68x = 199,922,557.22
  5. Step 5: Solve for x
    x = 199,922,557.22/15,376.68
  6. Step 6: Final answer
    x = 13,001.67

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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.