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Finding the Fourth Proportional to 15,416.32, 21,265.86 and 9,749.32

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Solution

The fourth proportional to 15,416.32, 21,265.86 and 9,749.32 is: 13,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.32 : 21,265.86 = 9,749.32 : x
  2. Step 2: Convert to fraction form
    15,416.32/21,265.86 = 9,749.32/x
  3. Step 3: Cross multiply
    15,416.32x = 21,265.86 × 9,749.32
  4. Step 4: Simplify right side
    15,416.32x = 207,327,674.22
  5. Step 5: Solve for x
    x = 207,327,674.22/15,416.32
  6. Step 6: Final answer
    x = 13,448.58

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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.