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Finding the Fourth Proportional to 12,653.42, 18,980.19 and 8,298.45

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Solution

The fourth proportional to 12,653.42, 18,980.19 and 8,298.45 is: 12,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.42 : 18,980.19 = 8,298.45 : x
  2. Step 2: Convert to fraction form
    12,653.42/18,980.19 = 8,298.45/x
  3. Step 3: Cross multiply
    12,653.42x = 18,980.19 × 8,298.45
  4. Step 4: Simplify right side
    12,653.42x = 157,506,157.71
  5. Step 5: Solve for x
    x = 157,506,157.71/12,653.42
  6. Step 6: Final answer
    x = 12,447.72

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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.