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Finding the Fourth Proportional to 14,741.08, 22,095.40 and 6,411.40

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Solution

The fourth proportional to 14,741.08, 22,095.40 and 6,411.40 is: 9,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.08 : 22,095.40 = 6,411.40 : x
  2. Step 2: Convert to fraction form
    14,741.08/22,095.40 = 6,411.40/x
  3. Step 3: Cross multiply
    14,741.08x = 22,095.40 × 6,411.40
  4. Step 4: Simplify right side
    14,741.08x = 141,662,447.56
  5. Step 5: Solve for x
    x = 141,662,447.56/14,741.08
  6. Step 6: Final answer
    x = 9,610.05

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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.