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Finding the Fourth Proportional to 21,412.64, 29,549.52 and 11,981.20

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Solution

The fourth proportional to 21,412.64, 29,549.52 and 11,981.20 is: 16,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.64 : 29,549.52 = 11,981.20 : x
  2. Step 2: Convert to fraction form
    21,412.64/29,549.52 = 11,981.20/x
  3. Step 3: Cross multiply
    21,412.64x = 29,549.52 × 11,981.20
  4. Step 4: Simplify right side
    21,412.64x = 354,038,709.02
  5. Step 5: Solve for x
    x = 354,038,709.02/21,412.64
  6. Step 6: Final answer
    x = 16,534.10

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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.