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Finding the Fourth Proportional to 14,482.25, 19,985.69 and 8,194.49

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Solution

The fourth proportional to 14,482.25, 19,985.69 and 8,194.49 is: 11,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.25 : 19,985.69 = 8,194.49 : x
  2. Step 2: Convert to fraction form
    14,482.25/19,985.69 = 8,194.49/x
  3. Step 3: Cross multiply
    14,482.25x = 19,985.69 × 8,194.49
  4. Step 4: Simplify right side
    14,482.25x = 163,772,495.88
  5. Step 5: Solve for x
    x = 163,772,495.88/14,482.25
  6. Step 6: Final answer
    x = 11,308.50

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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.