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Finding the Fourth Proportional to 16,312.69, 22,514.56 and 9,597.99

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Solution

The fourth proportional to 16,312.69, 22,514.56 and 9,597.99 is: 13,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.69 : 22,514.56 = 9,597.99 : x
  2. Step 2: Convert to fraction form
    16,312.69/22,514.56 = 9,597.99/x
  3. Step 3: Cross multiply
    16,312.69x = 22,514.56 × 9,597.99
  4. Step 4: Simplify right side
    16,312.69x = 216,094,582.17
  5. Step 5: Solve for x
    x = 216,094,582.17/16,312.69
  6. Step 6: Final answer
    x = 13,247.02

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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.