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Finding the Fourth Proportional to 12,646.66, 18,970.03 and 4,332.68

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Solution

The fourth proportional to 12,646.66, 18,970.03 and 4,332.68 is: 6,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.66 : 18,970.03 = 4,332.68 : x
  2. Step 2: Convert to fraction form
    12,646.66/18,970.03 = 4,332.68/x
  3. Step 3: Cross multiply
    12,646.66x = 18,970.03 × 4,332.68
  4. Step 4: Simplify right side
    12,646.66x = 82,191,069.58
  5. Step 5: Solve for x
    x = 82,191,069.58/12,646.66
  6. Step 6: Final answer
    x = 6,499.03

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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.