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Finding the Fourth Proportional to 15,762.96, 21,746.52 and 10,096.20

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Solution

The fourth proportional to 15,762.96, 21,746.52 and 10,096.20 is: 13,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.96 : 21,746.52 = 10,096.20 : x
  2. Step 2: Convert to fraction form
    15,762.96/21,746.52 = 10,096.20/x
  3. Step 3: Cross multiply
    15,762.96x = 21,746.52 × 10,096.20
  4. Step 4: Simplify right side
    15,762.96x = 219,557,215.22
  5. Step 5: Solve for x
    x = 219,557,215.22/15,762.96
  6. Step 6: Final answer
    x = 13,928.68

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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.