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Finding the Fourth Proportional to 12,822.70, 19,232.40 and 5,030.50

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Solution

The fourth proportional to 12,822.70, 19,232.40 and 5,030.50 is: 7,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.70 : 19,232.40 = 5,030.50 : x
  2. Step 2: Convert to fraction form
    12,822.70/19,232.40 = 5,030.50/x
  3. Step 3: Cross multiply
    12,822.70x = 19,232.40 × 5,030.50
  4. Step 4: Simplify right side
    12,822.70x = 96,748,588.20
  5. Step 5: Solve for x
    x = 96,748,588.20/12,822.70
  6. Step 6: Final answer
    x = 7,545.10

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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.