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Finding the Fourth Proportional to 63,004.34, 94,510.16 and 16,256

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Solution

The fourth proportional to 63,004.34, 94,510.16 and 16,256 is: 24,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,004.34 : 94,510.16 = 16,256 : x
  2. Step 2: Convert to fraction form
    63,004.34/94,510.16 = 16,256/x
  3. Step 3: Cross multiply
    63,004.34x = 94,510.16 × 16,256
  4. Step 4: Simplify right side
    63,004.34x = 1,536,357,160.96
  5. Step 5: Solve for x
    x = 1,536,357,160.96/63,004.34
  6. Step 6: Final answer
    x = 24,384.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.