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Finding the Fourth Proportional to 14,068.86, 19,396.02 and 9,024.32

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Solution

The fourth proportional to 14,068.86, 19,396.02 and 9,024.32 is: 12,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.86 : 19,396.02 = 9,024.32 : x
  2. Step 2: Convert to fraction form
    14,068.86/19,396.02 = 9,024.32/x
  3. Step 3: Cross multiply
    14,068.86x = 19,396.02 × 9,024.32
  4. Step 4: Simplify right side
    14,068.86x = 175,035,957.75
  5. Step 5: Solve for x
    x = 175,035,957.75/14,068.86
  6. Step 6: Final answer
    x = 12,441.38

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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.