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Finding the Fourth Proportional to 16,304.66, 22,505.79 and 9,590

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Solution

The fourth proportional to 16,304.66, 22,505.79 and 9,590 is: 13,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.66 : 22,505.79 = 9,590 : x
  2. Step 2: Convert to fraction form
    16,304.66/22,505.79 = 9,590/x
  3. Step 3: Cross multiply
    16,304.66x = 22,505.79 × 9,590
  4. Step 4: Simplify right side
    16,304.66x = 215,830,526.10
  5. Step 5: Solve for x
    x = 215,830,526.10/16,304.66
  6. Step 6: Final answer
    x = 13,237.35

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Why These Related Problems?

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