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Finding the Fourth Proportional to 22,884.40, 34,303.24 and 13,002.80

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Solution

The fourth proportional to 22,884.40, 34,303.24 and 13,002.80 is: 19,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.40 : 34,303.24 = 13,002.80 : x
  2. Step 2: Convert to fraction form
    22,884.40/34,303.24 = 13,002.80/x
  3. Step 3: Cross multiply
    22,884.40x = 34,303.24 × 13,002.80
  4. Step 4: Simplify right side
    22,884.40x = 446,038,169.07
  5. Step 5: Solve for x
    x = 446,038,169.07/22,884.40
  6. Step 6: Final answer
    x = 19,490.93

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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.