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Finding the Fourth Proportional to 19,430.04, 29,138.94 and 12,891

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Solution

The fourth proportional to 19,430.04, 29,138.94 and 12,891 is: 19,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430.04 : 29,138.94 = 12,891 : x
  2. Step 2: Convert to fraction form
    19,430.04/29,138.94 = 12,891/x
  3. Step 3: Cross multiply
    19,430.04x = 29,138.94 × 12,891
  4. Step 4: Simplify right side
    19,430.04x = 375,630,075.54
  5. Step 5: Solve for x
    x = 375,630,075.54/19,430.04
  6. Step 6: Final answer
    x = 19,332.44

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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.