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Finding the Fourth Proportional to 14,197.78, 19,597.34 and 9,161.91

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Solution

The fourth proportional to 14,197.78, 19,597.34 and 9,161.91 is: 12,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.78 : 19,597.34 = 9,161.91 : x
  2. Step 2: Convert to fraction form
    14,197.78/19,597.34 = 9,161.91/x
  3. Step 3: Cross multiply
    14,197.78x = 19,597.34 × 9,161.91
  4. Step 4: Simplify right side
    14,197.78x = 179,549,088.22
  5. Step 5: Solve for x
    x = 179,549,088.22/14,197.78
  6. Step 6: Final answer
    x = 12,646.28

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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.