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Finding the Fourth Proportional to 12,904.70, 19,357.02 and 8,521.13

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Solution

The fourth proportional to 12,904.70, 19,357.02 and 8,521.13 is: 12,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.70 : 19,357.02 = 8,521.13 : x
  2. Step 2: Convert to fraction form
    12,904.70/19,357.02 = 8,521.13/x
  3. Step 3: Cross multiply
    12,904.70x = 19,357.02 × 8,521.13
  4. Step 4: Simplify right side
    12,904.70x = 164,943,587.05
  5. Step 5: Solve for x
    x = 164,943,587.05/12,904.70
  6. Step 6: Final answer
    x = 12,781.67

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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.