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Finding the Fourth Proportional to 16,323, 22,527.68 and 9,699

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Solution

The fourth proportional to 16,323, 22,527.68 and 9,699 is: 13,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323 : 22,527.68 = 9,699 : x
  2. Step 2: Convert to fraction form
    16,323/22,527.68 = 9,699/x
  3. Step 3: Cross multiply
    16,323x = 22,527.68 × 9,699
  4. Step 4: Simplify right side
    16,323x = 218,495,968.32
  5. Step 5: Solve for x
    x = 218,495,968.32/16,323
  6. Step 6: Final answer
    x = 13,385.77

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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.