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Finding the Fourth Proportional to 14,417.86, 21,596.39 and 9,150.10

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Solution

The fourth proportional to 14,417.86, 21,596.39 and 9,150.10 is: 13,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.86 : 21,596.39 = 9,150.10 : x
  2. Step 2: Convert to fraction form
    14,417.86/21,596.39 = 9,150.10/x
  3. Step 3: Cross multiply
    14,417.86x = 21,596.39 × 9,150.10
  4. Step 4: Simplify right side
    14,417.86x = 197,609,043.03
  5. Step 5: Solve for x
    x = 197,609,043.03/14,417.86
  6. Step 6: Final answer
    x = 13,705.85

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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.