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Finding the Fourth Proportional to 14,860.07, 20,509.00 and 9,196.64

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Solution

The fourth proportional to 14,860.07, 20,509.00 and 9,196.64 is: 12,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.07 : 20,509.00 = 9,196.64 : x
  2. Step 2: Convert to fraction form
    14,860.07/20,509.00 = 9,196.64/x
  3. Step 3: Cross multiply
    14,860.07x = 20,509.00 × 9,196.64
  4. Step 4: Simplify right side
    14,860.07x = 188,613,841.13
  5. Step 5: Solve for x
    x = 188,613,841.13/14,860.07
  6. Step 6: Final answer
    x = 12,692.66

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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.