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Finding the Fourth Proportional to 13,066.32, 18,030.78 and 7,757.76

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Solution

The fourth proportional to 13,066.32, 18,030.78 and 7,757.76 is: 10,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.32 : 18,030.78 = 7,757.76 : x
  2. Step 2: Convert to fraction form
    13,066.32/18,030.78 = 7,757.76/x
  3. Step 3: Cross multiply
    13,066.32x = 18,030.78 × 7,757.76
  4. Step 4: Simplify right side
    13,066.32x = 139,878,463.85
  5. Step 5: Solve for x
    x = 139,878,463.85/13,066.32
  6. Step 6: Final answer
    x = 10,705.27

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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.