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Finding the Fourth Proportional to 13,322.76, 18,384.41 and 7,657.51

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Solution

The fourth proportional to 13,322.76, 18,384.41 and 7,657.51 is: 10,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.76 : 18,384.41 = 7,657.51 : x
  2. Step 2: Convert to fraction form
    13,322.76/18,384.41 = 7,657.51/x
  3. Step 3: Cross multiply
    13,322.76x = 18,384.41 × 7,657.51
  4. Step 4: Simplify right side
    13,322.76x = 140,778,803.42
  5. Step 5: Solve for x
    x = 140,778,803.42/13,322.76
  6. Step 6: Final answer
    x = 10,566.79

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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.