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Finding the Fourth Proportional to 14,468.16, 19,967.04 and 8,182.08

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Solution

The fourth proportional to 14,468.16, 19,967.04 and 8,182.08 is: 11,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.16 : 19,967.04 = 8,182.08 : x
  2. Step 2: Convert to fraction form
    14,468.16/19,967.04 = 8,182.08/x
  3. Step 3: Cross multiply
    14,468.16x = 19,967.04 × 8,182.08
  4. Step 4: Simplify right side
    14,468.16x = 163,371,918.64
  5. Step 5: Solve for x
    x = 163,371,918.64/14,468.16
  6. Step 6: Final answer
    x = 11,291.82

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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.