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Finding the Fourth Proportional to 19,582, 27,022.98 and 10,629.79

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Solution

The fourth proportional to 19,582, 27,022.98 and 10,629.79 is: 14,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582 : 27,022.98 = 10,629.79 : x
  2. Step 2: Convert to fraction form
    19,582/27,022.98 = 10,629.79/x
  3. Step 3: Cross multiply
    19,582x = 27,022.98 × 10,629.79
  4. Step 4: Simplify right side
    19,582x = 287,248,602.57
  5. Step 5: Solve for x
    x = 287,248,602.57/19,582
  6. Step 6: Final answer
    x = 14,669.01

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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.