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Finding the Fourth Proportional to 13,646.64, 18,823.86 and 9,390.36

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Solution

The fourth proportional to 13,646.64, 18,823.86 and 9,390.36 is: 12,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.64 : 18,823.86 = 9,390.36 : x
  2. Step 2: Convert to fraction form
    13,646.64/18,823.86 = 9,390.36/x
  3. Step 3: Cross multiply
    13,646.64x = 18,823.86 × 9,390.36
  4. Step 4: Simplify right side
    13,646.64x = 176,762,821.99
  5. Step 5: Solve for x
    x = 176,762,821.99/13,646.64
  6. Step 6: Final answer
    x = 12,952.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.