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Finding the Fourth Proportional to 13,417.74, 20,119.86 and 4,650.30

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Solution

The fourth proportional to 13,417.74, 20,119.86 and 4,650.30 is: 6,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.74 : 20,119.86 = 4,650.30 : x
  2. Step 2: Convert to fraction form
    13,417.74/20,119.86 = 4,650.30/x
  3. Step 3: Cross multiply
    13,417.74x = 20,119.86 × 4,650.30
  4. Step 4: Simplify right side
    13,417.74x = 93,563,384.96
  5. Step 5: Solve for x
    x = 93,563,384.96/13,417.74
  6. Step 6: Final answer
    x = 6,973.11

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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.