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Finding the Fourth Proportional to 12,883.32, 19,412.74 and 10,594.59

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Solution

The fourth proportional to 12,883.32, 19,412.74 and 10,594.59 is: 15,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.32 : 19,412.74 = 10,594.59 : x
  2. Step 2: Convert to fraction form
    12,883.32/19,412.74 = 10,594.59/x
  3. Step 3: Cross multiply
    12,883.32x = 19,412.74 × 10,594.59
  4. Step 4: Simplify right side
    12,883.32x = 205,670,021.08
  5. Step 5: Solve for x
    x = 205,670,021.08/12,883.32
  6. Step 6: Final answer
    x = 15,964.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.