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Finding the Fourth Proportional to 14,256, 19,681.92 and 9,296.64

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Solution

The fourth proportional to 14,256, 19,681.92 and 9,296.64 is: 12,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256 : 19,681.92 = 9,296.64 : x
  2. Step 2: Convert to fraction form
    14,256/19,681.92 = 9,296.64/x
  3. Step 3: Cross multiply
    14,256x = 19,681.92 × 9,296.64
  4. Step 4: Simplify right side
    14,256x = 182,975,724.75
  5. Step 5: Solve for x
    x = 182,975,724.75/14,256
  6. Step 6: Final answer
    x = 12,835.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.