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Finding the Fourth Proportional to 21,410, 29,564.04 and 13,465.52

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Solution

The fourth proportional to 21,410, 29,564.04 and 13,465.52 is: 18,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410 : 29,564.04 = 13,465.52 : x
  2. Step 2: Convert to fraction form
    21,410/29,564.04 = 13,465.52/x
  3. Step 3: Cross multiply
    21,410x = 29,564.04 × 13,465.52
  4. Step 4: Simplify right side
    21,410x = 398,095,171.90
  5. Step 5: Solve for x
    x = 398,095,171.90/21,410
  6. Step 6: Final answer
    x = 18,593.89

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