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Finding the Fourth Proportional to 23,201, 32,017.38 and 13,265

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Solution

The fourth proportional to 23,201, 32,017.38 and 13,265 is: 18,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201 : 32,017.38 = 13,265 : x
  2. Step 2: Convert to fraction form
    23,201/32,017.38 = 13,265/x
  3. Step 3: Cross multiply
    23,201x = 32,017.38 × 13,265
  4. Step 4: Simplify right side
    23,201x = 424,710,545.70
  5. Step 5: Solve for x
    x = 424,710,545.70/23,201
  6. Step 6: Final answer
    x = 18,305.70

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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.