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Finding the Fourth Proportional to 19,726.12, 29,588.64 and 6,578.74

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Solution

The fourth proportional to 19,726.12, 29,588.64 and 6,578.74 is: 9,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.12 : 29,588.64 = 6,578.74 : x
  2. Step 2: Convert to fraction form
    19,726.12/29,588.64 = 6,578.74/x
  3. Step 3: Cross multiply
    19,726.12x = 29,588.64 × 6,578.74
  4. Step 4: Simplify right side
    19,726.12x = 194,655,969.51
  5. Step 5: Solve for x
    x = 194,655,969.51/19,726.12
  6. Step 6: Final answer
    x = 9,867.93

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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.