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Finding the Fourth Proportional to 14,483.84, 19,974.06 and 11,509.52

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Solution

The fourth proportional to 14,483.84, 19,974.06 and 11,509.52 is: 15,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.84 : 19,974.06 = 11,509.52 : x
  2. Step 2: Convert to fraction form
    14,483.84/19,974.06 = 11,509.52/x
  3. Step 3: Cross multiply
    14,483.84x = 19,974.06 × 11,509.52
  4. Step 4: Simplify right side
    14,483.84x = 229,891,743.18
  5. Step 5: Solve for x
    x = 229,891,743.18/14,483.84
  6. Step 6: Final answer
    x = 15,872.30

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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.