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Finding the Fourth Proportional to 19,570.25, 27,006.71 and 10,617.66

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Solution

The fourth proportional to 19,570.25, 27,006.71 and 10,617.66 is: 14,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.25 : 27,006.71 = 10,617.66 : x
  2. Step 2: Convert to fraction form
    19,570.25/27,006.71 = 10,617.66/x
  3. Step 3: Cross multiply
    19,570.25x = 27,006.71 × 10,617.66
  4. Step 4: Simplify right side
    19,570.25x = 286,748,011.41
  5. Step 5: Solve for x
    x = 286,748,011.41/19,570.25
  6. Step 6: Final answer
    x = 14,652.24

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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.