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Finding the Fourth Proportional to 30,436.08, 45,663.84 and 12,920.64

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Solution

The fourth proportional to 30,436.08, 45,663.84 and 12,920.64 is: 19,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.08 : 45,663.84 = 12,920.64 : x
  2. Step 2: Convert to fraction form
    30,436.08/45,663.84 = 12,920.64/x
  3. Step 3: Cross multiply
    30,436.08x = 45,663.84 × 12,920.64
  4. Step 4: Simplify right side
    30,436.08x = 590,006,037.66
  5. Step 5: Solve for x
    x = 590,006,037.66/30,436.08
  6. Step 6: Final answer
    x = 19,385.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.