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Finding the Fourth Proportional to 16,602.69, 22,909.69 and 9,430.05

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Solution

The fourth proportional to 16,602.69, 22,909.69 and 9,430.05 is: 13,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.69 : 22,909.69 = 9,430.05 : x
  2. Step 2: Convert to fraction form
    16,602.69/22,909.69 = 9,430.05/x
  3. Step 3: Cross multiply
    16,602.69x = 22,909.69 × 9,430.05
  4. Step 4: Simplify right side
    16,602.69x = 216,039,522.18
  5. Step 5: Solve for x
    x = 216,039,522.18/16,602.69
  6. Step 6: Final answer
    x = 13,012.32

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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.