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Finding the Fourth Proportional to 14,429.42, 21,655.47 and 7,409.15

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Solution

The fourth proportional to 14,429.42, 21,655.47 and 7,409.15 is: 11,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.42 : 21,655.47 = 7,409.15 : x
  2. Step 2: Convert to fraction form
    14,429.42/21,655.47 = 7,409.15/x
  3. Step 3: Cross multiply
    14,429.42x = 21,655.47 × 7,409.15
  4. Step 4: Simplify right side
    14,429.42x = 160,448,625.55
  5. Step 5: Solve for x
    x = 160,448,625.55/14,429.42
  6. Step 6: Final answer
    x = 11,119.55

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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.