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Finding the Fourth Proportional to 14,465.85, 19,969.38 and 8,497.91

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Solution

The fourth proportional to 14,465.85, 19,969.38 and 8,497.91 is: 11,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.85 : 19,969.38 = 8,497.91 : x
  2. Step 2: Convert to fraction form
    14,465.85/19,969.38 = 8,497.91/x
  3. Step 3: Cross multiply
    14,465.85x = 19,969.38 × 8,497.91
  4. Step 4: Simplify right side
    14,465.85x = 169,697,894.15
  5. Step 5: Solve for x
    x = 169,697,894.15/14,465.85
  6. Step 6: Final answer
    x = 11,730.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.