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Finding the Fourth Proportional to 13,657.61, 20,477.94 and 5,756.06

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Solution

The fourth proportional to 13,657.61, 20,477.94 and 5,756.06 is: 8,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.61 : 20,477.94 = 5,756.06 : x
  2. Step 2: Convert to fraction form
    13,657.61/20,477.94 = 5,756.06/x
  3. Step 3: Cross multiply
    13,657.61x = 20,477.94 × 5,756.06
  4. Step 4: Simplify right side
    13,657.61x = 117,872,251.32
  5. Step 5: Solve for x
    x = 117,872,251.32/13,657.61
  6. Step 6: Final answer
    x = 8,630.52

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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.