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Finding the Fourth Proportional to 19,382.58, 29,088.36 and 7,538.22

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Solution

The fourth proportional to 19,382.58, 29,088.36 and 7,538.22 is: 11,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.58 : 29,088.36 = 7,538.22 : x
  2. Step 2: Convert to fraction form
    19,382.58/29,088.36 = 7,538.22/x
  3. Step 3: Cross multiply
    19,382.58x = 29,088.36 × 7,538.22
  4. Step 4: Simplify right side
    19,382.58x = 219,274,457.12
  5. Step 5: Solve for x
    x = 219,274,457.12/19,382.58
  6. Step 6: Final answer
    x = 11,312.97

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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.