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Finding the Fourth Proportional to 14,598, 20,145.24 and 9,012.24

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Solution

The fourth proportional to 14,598, 20,145.24 and 9,012.24 is: 12,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 20,145.24 = 9,012.24 : x
  2. Step 2: Convert to fraction form
    14,598/20,145.24 = 9,012.24/x
  3. Step 3: Cross multiply
    14,598x = 20,145.24 × 9,012.24
  4. Step 4: Simplify right side
    14,598x = 181,553,737.74
  5. Step 5: Solve for x
    x = 181,553,737.74/14,598
  6. Step 6: Final answer
    x = 12,436.89

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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.