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Finding the Fourth Proportional to 14,145.42, 19,509.42 and 9,110.06

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Solution

The fourth proportional to 14,145.42, 19,509.42 and 9,110.06 is: 12,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.42 : 19,509.42 = 9,110.06 : x
  2. Step 2: Convert to fraction form
    14,145.42/19,509.42 = 9,110.06/x
  3. Step 3: Cross multiply
    14,145.42x = 19,509.42 × 9,110.06
  4. Step 4: Simplify right side
    14,145.42x = 177,731,986.77
  5. Step 5: Solve for x
    x = 177,731,986.77/14,145.42
  6. Step 6: Final answer
    x = 12,564.63

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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.