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Finding the Fourth Proportional to 14,302.87, 19,739.06 and 9,002.23

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Solution

The fourth proportional to 14,302.87, 19,739.06 and 9,002.23 is: 12,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.87 : 19,739.06 = 9,002.23 : x
  2. Step 2: Convert to fraction form
    14,302.87/19,739.06 = 9,002.23/x
  3. Step 3: Cross multiply
    14,302.87x = 19,739.06 × 9,002.23
  4. Step 4: Simplify right side
    14,302.87x = 177,695,558.10
  5. Step 5: Solve for x
    x = 177,695,558.10/14,302.87
  6. Step 6: Final answer
    x = 12,423.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.