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Finding the Fourth Proportional to 21,509.90, 29,680.45 and 12,076.64

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Solution

The fourth proportional to 21,509.90, 29,680.45 and 12,076.64 is: 16,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.90 : 29,680.45 = 12,076.64 : x
  2. Step 2: Convert to fraction form
    21,509.90/29,680.45 = 12,076.64/x
  3. Step 3: Cross multiply
    21,509.90x = 29,680.45 × 12,076.64
  4. Step 4: Simplify right side
    21,509.90x = 358,439,931.09
  5. Step 5: Solve for x
    x = 358,439,931.09/21,509.90
  6. Step 6: Final answer
    x = 16,663.96

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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.