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Finding the Fourth Proportional to 16,302.69, 22,495.41 and 9,584.37

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Solution

The fourth proportional to 16,302.69, 22,495.41 and 9,584.37 is: 13,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.69 : 22,495.41 = 9,584.37 : x
  2. Step 2: Convert to fraction form
    16,302.69/22,495.41 = 9,584.37/x
  3. Step 3: Cross multiply
    16,302.69x = 22,495.41 × 9,584.37
  4. Step 4: Simplify right side
    16,302.69x = 215,604,332.74
  5. Step 5: Solve for x
    x = 215,604,332.74/16,302.69
  6. Step 6: Final answer
    x = 13,225.08

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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.