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Finding the Fourth Proportional to 12,438.63, 18,657.32 and 4,646.84

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Solution

The fourth proportional to 12,438.63, 18,657.32 and 4,646.84 is: 6,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.63 : 18,657.32 = 4,646.84 : x
  2. Step 2: Convert to fraction form
    12,438.63/18,657.32 = 4,646.84/x
  3. Step 3: Cross multiply
    12,438.63x = 18,657.32 × 4,646.84
  4. Step 4: Simplify right side
    12,438.63x = 86,697,464.35
  5. Step 5: Solve for x
    x = 86,697,464.35/12,438.63
  6. Step 6: Final answer
    x = 6,970.02

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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.