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Finding the Fourth Proportional to 14,409.15, 21,615.62 and 5,642.93

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Solution

The fourth proportional to 14,409.15, 21,615.62 and 5,642.93 is: 8,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.15 : 21,615.62 = 5,642.93 : x
  2. Step 2: Convert to fraction form
    14,409.15/21,615.62 = 5,642.93/x
  3. Step 3: Cross multiply
    14,409.15x = 21,615.62 × 5,642.93
  4. Step 4: Simplify right side
    14,409.15x = 121,975,369.47
  5. Step 5: Solve for x
    x = 121,975,369.47/14,409.15
  6. Step 6: Final answer
    x = 8,465.13

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