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Finding the Fourth Proportional to 12,728.34, 19,066.59 and 5,807.70

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Solution

The fourth proportional to 12,728.34, 19,066.59 and 5,807.70 is: 8,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.34 : 19,066.59 = 5,807.70 : x
  2. Step 2: Convert to fraction form
    12,728.34/19,066.59 = 5,807.70/x
  3. Step 3: Cross multiply
    12,728.34x = 19,066.59 × 5,807.70
  4. Step 4: Simplify right side
    12,728.34x = 110,733,034.74
  5. Step 5: Solve for x
    x = 110,733,034.74/12,728.34
  6. Step 6: Final answer
    x = 8,699.72

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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.