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Finding the Fourth Proportional to 23,640.75, 32,624.33 and 13,030.16

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Solution

The fourth proportional to 23,640.75, 32,624.33 and 13,030.16 is: 17,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.75 : 32,624.33 = 13,030.16 : x
  2. Step 2: Convert to fraction form
    23,640.75/32,624.33 = 13,030.16/x
  3. Step 3: Cross multiply
    23,640.75x = 32,624.33 × 13,030.16
  4. Step 4: Simplify right side
    23,640.75x = 425,100,011.52
  5. Step 5: Solve for x
    x = 425,100,011.52/23,640.75
  6. Step 6: Final answer
    x = 17,981.66

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