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Finding the Fourth Proportional to 23,557.89, 32,509.65 and 12,802.65

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Solution

The fourth proportional to 23,557.89, 32,509.65 and 12,802.65 is: 17,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.89 : 32,509.65 = 12,802.65 : x
  2. Step 2: Convert to fraction form
    23,557.89/32,509.65 = 12,802.65/x
  3. Step 3: Cross multiply
    23,557.89x = 32,509.65 × 12,802.65
  4. Step 4: Simplify right side
    23,557.89x = 416,209,670.57
  5. Step 5: Solve for x
    x = 416,209,670.57/23,557.89
  6. Step 6: Final answer
    x = 17,667.53

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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.