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Finding the Fourth Proportional to 13,386.34, 18,475.74 and 7,724.74

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Solution

The fourth proportional to 13,386.34, 18,475.74 and 7,724.74 is: 10,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.34 : 18,475.74 = 7,724.74 : x
  2. Step 2: Convert to fraction form
    13,386.34/18,475.74 = 7,724.74/x
  3. Step 3: Cross multiply
    13,386.34x = 18,475.74 × 7,724.74
  4. Step 4: Simplify right side
    13,386.34x = 142,720,287.81
  5. Step 5: Solve for x
    x = 142,720,287.81/13,386.34
  6. Step 6: Final answer
    x = 10,661.64

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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.