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Finding the Fourth Proportional to 13,405.38, 18,492.99 and 9,814.68

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Solution

The fourth proportional to 13,405.38, 18,492.99 and 9,814.68 is: 13,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.38 : 18,492.99 = 9,814.68 : x
  2. Step 2: Convert to fraction form
    13,405.38/18,492.99 = 9,814.68/x
  3. Step 3: Cross multiply
    13,405.38x = 18,492.99 × 9,814.68
  4. Step 4: Simplify right side
    13,405.38x = 181,502,779.09
  5. Step 5: Solve for x
    x = 181,502,779.09/13,405.38
  6. Step 6: Final answer
    x = 13,539.55

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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.