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Finding the Fourth Proportional to 14,456.90, 19,950.52 and 7,832.90

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Solution

The fourth proportional to 14,456.90, 19,950.52 and 7,832.90 is: 10,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.90 : 19,950.52 = 7,832.90 : x
  2. Step 2: Convert to fraction form
    14,456.90/19,950.52 = 7,832.90/x
  3. Step 3: Cross multiply
    14,456.90x = 19,950.52 × 7,832.90
  4. Step 4: Simplify right side
    14,456.90x = 156,270,428.11
  5. Step 5: Solve for x
    x = 156,270,428.11/14,456.90
  6. Step 6: Final answer
    x = 10,809.40

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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.