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Finding the Fourth Proportional to 15,704.64, 21,666.88 and 9,730.08

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Solution

The fourth proportional to 15,704.64, 21,666.88 and 9,730.08 is: 13,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.64 : 21,666.88 = 9,730.08 : x
  2. Step 2: Convert to fraction form
    15,704.64/21,666.88 = 9,730.08/x
  3. Step 3: Cross multiply
    15,704.64x = 21,666.88 × 9,730.08
  4. Step 4: Simplify right side
    15,704.64x = 210,820,475.75
  5. Step 5: Solve for x
    x = 210,820,475.75/15,704.64
  6. Step 6: Final answer
    x = 13,424.09

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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.