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Finding the Fourth Proportional to 14,099.76, 19,461.24 and 8,437.92

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Solution

The fourth proportional to 14,099.76, 19,461.24 and 8,437.92 is: 11,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.76 : 19,461.24 = 8,437.92 : x
  2. Step 2: Convert to fraction form
    14,099.76/19,461.24 = 8,437.92/x
  3. Step 3: Cross multiply
    14,099.76x = 19,461.24 × 8,437.92
  4. Step 4: Simplify right side
    14,099.76x = 164,212,386.22
  5. Step 5: Solve for x
    x = 164,212,386.22/14,099.76
  6. Step 6: Final answer
    x = 11,646.47

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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.