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Finding the Fourth Proportional to 14,417.68, 19,893.72 and 8,128.84

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Solution

The fourth proportional to 14,417.68, 19,893.72 and 8,128.84 is: 11,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.68 : 19,893.72 = 8,128.84 : x
  2. Step 2: Convert to fraction form
    14,417.68/19,893.72 = 8,128.84/x
  3. Step 3: Cross multiply
    14,417.68x = 19,893.72 × 8,128.84
  4. Step 4: Simplify right side
    14,417.68x = 161,712,866.88
  5. Step 5: Solve for x
    x = 161,712,866.88/14,417.68
  6. Step 6: Final answer
    x = 11,216.29

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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.