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Finding the Fourth Proportional to 21,065.40, 31,598.64 and 9,969.48

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Solution

The fourth proportional to 21,065.40, 31,598.64 and 9,969.48 is: 14,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.40 : 31,598.64 = 9,969.48 : x
  2. Step 2: Convert to fraction form
    21,065.40/31,598.64 = 9,969.48/x
  3. Step 3: Cross multiply
    21,065.40x = 31,598.64 × 9,969.48
  4. Step 4: Simplify right side
    21,065.40x = 315,022,009.51
  5. Step 5: Solve for x
    x = 315,022,009.51/21,065.40
  6. Step 6: Final answer
    x = 14,954.48

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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.