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Finding the Fourth Proportional to 14,705.16, 22,062.14 and 5,345

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Solution

The fourth proportional to 14,705.16, 22,062.14 and 5,345 is: 8,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.16 : 22,062.14 = 5,345 : x
  2. Step 2: Convert to fraction form
    14,705.16/22,062.14 = 5,345/x
  3. Step 3: Cross multiply
    14,705.16x = 22,062.14 × 5,345
  4. Step 4: Simplify right side
    14,705.16x = 117,922,138.30
  5. Step 5: Solve for x
    x = 117,922,138.30/14,705.16
  6. Step 6: Final answer
    x = 8,019.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.