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Finding the Fourth Proportional to 19,424.85, 29,130.13 and 6,941.50

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Solution

The fourth proportional to 19,424.85, 29,130.13 and 6,941.50 is: 10,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424.85 : 29,130.13 = 6,941.50 : x
  2. Step 2: Convert to fraction form
    19,424.85/29,130.13 = 6,941.50/x
  3. Step 3: Cross multiply
    19,424.85x = 29,130.13 × 6,941.50
  4. Step 4: Simplify right side
    19,424.85x = 202,206,733.25
  5. Step 5: Solve for x
    x = 202,206,733.25/19,424.85
  6. Step 6: Final answer
    x = 10,409.70

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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.