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Finding the Fourth Proportional to 12,762.19, 19,123.75 and 8,586.73

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Solution

The fourth proportional to 12,762.19, 19,123.75 and 8,586.73 is: 12,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.19 : 19,123.75 = 8,586.73 : x
  2. Step 2: Convert to fraction form
    12,762.19/19,123.75 = 8,586.73/x
  3. Step 3: Cross multiply
    12,762.19x = 19,123.75 × 8,586.73
  4. Step 4: Simplify right side
    12,762.19x = 164,210,434.90
  5. Step 5: Solve for x
    x = 164,210,434.90/12,762.19
  6. Step 6: Final answer
    x = 12,866.95

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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.