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Finding the Fourth Proportional to 16,109.58, 24,159.51 and 9,534

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Solution

The fourth proportional to 16,109.58, 24,159.51 and 9,534 is: 14,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.58 : 24,159.51 = 9,534 : x
  2. Step 2: Convert to fraction form
    16,109.58/24,159.51 = 9,534/x
  3. Step 3: Cross multiply
    16,109.58x = 24,159.51 × 9,534
  4. Step 4: Simplify right side
    16,109.58x = 230,336,768.34
  5. Step 5: Solve for x
    x = 230,336,768.34/16,109.58
  6. Step 6: Final answer
    x = 14,298.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.