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Finding the Fourth Proportional to 14,415.64, 19,882.06 and 9,938.37

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Solution

The fourth proportional to 14,415.64, 19,882.06 and 9,938.37 is: 13,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.64 : 19,882.06 = 9,938.37 : x
  2. Step 2: Convert to fraction form
    14,415.64/19,882.06 = 9,938.37/x
  3. Step 3: Cross multiply
    14,415.64x = 19,882.06 × 9,938.37
  4. Step 4: Simplify right side
    14,415.64x = 197,595,268.64
  5. Step 5: Solve for x
    x = 197,595,268.64/14,415.64
  6. Step 6: Final answer
    x = 13,707.01

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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.