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Finding the Fourth Proportional to 21,526.05, 29,704.80 and 12,094

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Solution

The fourth proportional to 21,526.05, 29,704.80 and 12,094 is: 16,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,526.05 : 29,704.80 = 12,094 : x
  2. Step 2: Convert to fraction form
    21,526.05/29,704.80 = 12,094/x
  3. Step 3: Cross multiply
    21,526.05x = 29,704.80 × 12,094
  4. Step 4: Simplify right side
    21,526.05x = 359,249,851.20
  5. Step 5: Solve for x
    x = 359,249,851.20/21,526.05
  6. Step 6: Final answer
    x = 16,689.08

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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.