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Finding the Fourth Proportional to 14,302.88, 19,739.05 and 9,002.24

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Solution

The fourth proportional to 14,302.88, 19,739.05 and 9,002.24 is: 12,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.88 : 19,739.05 = 9,002.24 : x
  2. Step 2: Convert to fraction form
    14,302.88/19,739.05 = 9,002.24/x
  3. Step 3: Cross multiply
    14,302.88x = 19,739.05 × 9,002.24
  4. Step 4: Simplify right side
    14,302.88x = 177,695,665.47
  5. Step 5: Solve for x
    x = 177,695,665.47/14,302.88
  6. Step 6: Final answer
    x = 12,423.77

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1.5x scale

Why These Related Problems?

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