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Finding the Fourth Proportional to 15,810.39, 21,814.58 and 9,838.87

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Solution

The fourth proportional to 15,810.39, 21,814.58 and 9,838.87 is: 13,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.39 : 21,814.58 = 9,838.87 : x
  2. Step 2: Convert to fraction form
    15,810.39/21,814.58 = 9,838.87/x
  3. Step 3: Cross multiply
    15,810.39x = 21,814.58 × 9,838.87
  4. Step 4: Simplify right side
    15,810.39x = 214,630,786.79
  5. Step 5: Solve for x
    x = 214,630,786.79/15,810.39
  6. Step 6: Final answer
    x = 13,575.30

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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.