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Finding the Fourth Proportional to 14,365.29, 19,810.17 and 9,585.42

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Solution

The fourth proportional to 14,365.29, 19,810.17 and 9,585.42 is: 13,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.29 : 19,810.17 = 9,585.42 : x
  2. Step 2: Convert to fraction form
    14,365.29/19,810.17 = 9,585.42/x
  3. Step 3: Cross multiply
    14,365.29x = 19,810.17 × 9,585.42
  4. Step 4: Simplify right side
    14,365.29x = 189,888,799.72
  5. Step 5: Solve for x
    x = 189,888,799.72/14,365.29
  6. Step 6: Final answer
    x = 13,218.58

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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.