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Finding the Fourth Proportional to 14,133.42, 19,495.49 and 10,159.92

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Solution

The fourth proportional to 14,133.42, 19,495.49 and 10,159.92 is: 14,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.42 : 19,495.49 = 10,159.92 : x
  2. Step 2: Convert to fraction form
    14,133.42/19,495.49 = 10,159.92/x
  3. Step 3: Cross multiply
    14,133.42x = 19,495.49 × 10,159.92
  4. Step 4: Simplify right side
    14,133.42x = 198,072,567.96
  5. Step 5: Solve for x
    x = 198,072,567.96/14,133.42
  6. Step 6: Final answer
    x = 14,014.48

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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.