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Finding the Fourth Proportional to 15,762.47, 23,641.57 and 4,670.33

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Solution

The fourth proportional to 15,762.47, 23,641.57 and 4,670.33 is: 7,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.47 : 23,641.57 = 4,670.33 : x
  2. Step 2: Convert to fraction form
    15,762.47/23,641.57 = 4,670.33/x
  3. Step 3: Cross multiply
    15,762.47x = 23,641.57 × 4,670.33
  4. Step 4: Simplify right side
    15,762.47x = 110,413,821.25
  5. Step 5: Solve for x
    x = 110,413,821.25/15,762.47
  6. Step 6: Final answer
    x = 7,004.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.