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Finding the Fourth Proportional to 14,576, 21,963.32 and 12,984.68

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Solution

The fourth proportional to 14,576, 21,963.32 and 12,984.68 is: 19,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 21,963.32 = 12,984.68 : x
  2. Step 2: Convert to fraction form
    14,576/21,963.32 = 12,984.68/x
  3. Step 3: Cross multiply
    14,576x = 21,963.32 × 12,984.68
  4. Step 4: Simplify right side
    14,576x = 285,186,681.94
  5. Step 5: Solve for x
    x = 285,186,681.94/14,576
  6. Step 6: Final answer
    x = 19,565.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.