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Finding the Fourth Proportional to 14,562.50, 20,097.88 and 8,973.50

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Solution

The fourth proportional to 14,562.50, 20,097.88 and 8,973.50 is: 12,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.50 : 20,097.88 = 8,973.50 : x
  2. Step 2: Convert to fraction form
    14,562.50/20,097.88 = 8,973.50/x
  3. Step 3: Cross multiply
    14,562.50x = 20,097.88 × 8,973.50
  4. Step 4: Simplify right side
    14,562.50x = 180,348,326.18
  5. Step 5: Solve for x
    x = 180,348,326.18/14,562.50
  6. Step 6: Final answer
    x = 12,384.43

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1.5x scale

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.