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Finding the Fourth Proportional to 14,099.51, 19,457.27 and 7,726.10

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Solution

The fourth proportional to 14,099.51, 19,457.27 and 7,726.10 is: 10,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.51 : 19,457.27 = 7,726.10 : x
  2. Step 2: Convert to fraction form
    14,099.51/19,457.27 = 7,726.10/x
  3. Step 3: Cross multiply
    14,099.51x = 19,457.27 × 7,726.10
  4. Step 4: Simplify right side
    14,099.51x = 150,328,677.83
  5. Step 5: Solve for x
    x = 150,328,677.83/14,099.51
  6. Step 6: Final answer
    x = 10,661.98

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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.