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Finding the Fourth Proportional to 16,324, 22,529.04 and 9,700

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Solution

The fourth proportional to 16,324, 22,529.04 and 9,700 is: 13,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324 : 22,529.04 = 9,700 : x
  2. Step 2: Convert to fraction form
    16,324/22,529.04 = 9,700/x
  3. Step 3: Cross multiply
    16,324x = 22,529.04 × 9,700
  4. Step 4: Simplify right side
    16,324x = 218,531,688
  5. Step 5: Solve for x
    x = 218,531,688/16,324
  6. Step 6: Final answer
    x = 13,387.14

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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.