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Finding the Fourth Proportional to 17,037.50, 23,511.76 and 9,585.50

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Solution

The fourth proportional to 17,037.50, 23,511.76 and 9,585.50 is: 13,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.50 : 23,511.76 = 9,585.50 : x
  2. Step 2: Convert to fraction form
    17,037.50/23,511.76 = 9,585.50/x
  3. Step 3: Cross multiply
    17,037.50x = 23,511.76 × 9,585.50
  4. Step 4: Simplify right side
    17,037.50x = 225,371,975.48
  5. Step 5: Solve for x
    x = 225,371,975.48/17,037.50
  6. Step 6: Final answer
    x = 13,228.00

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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.