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Finding the Fourth Proportional to 14,434.02, 19,913.04 and 9,719.82

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Solution

The fourth proportional to 14,434.02, 19,913.04 and 9,719.82 is: 13,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.02 : 19,913.04 = 9,719.82 : x
  2. Step 2: Convert to fraction form
    14,434.02/19,913.04 = 9,719.82/x
  3. Step 3: Cross multiply
    14,434.02x = 19,913.04 × 9,719.82
  4. Step 4: Simplify right side
    14,434.02x = 193,551,164.45
  5. Step 5: Solve for x
    x = 193,551,164.45/14,434.02
  6. Step 6: Final answer
    x = 13,409.37

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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.