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Finding the Fourth Proportional to 12,834.51, 19,252.98 and 5,041.50

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Solution

The fourth proportional to 12,834.51, 19,252.98 and 5,041.50 is: 7,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.51 : 19,252.98 = 5,041.50 : x
  2. Step 2: Convert to fraction form
    12,834.51/19,252.98 = 5,041.50/x
  3. Step 3: Cross multiply
    12,834.51x = 19,252.98 × 5,041.50
  4. Step 4: Simplify right side
    12,834.51x = 97,063,898.67
  5. Step 5: Solve for x
    x = 97,063,898.67/12,834.51
  6. Step 6: Final answer
    x = 7,562.73

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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.