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Finding the Fourth Proportional to 23,477.67, 32,399.10 and 14,048.46

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Solution

The fourth proportional to 23,477.67, 32,399.10 and 14,048.46 is: 19,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.67 : 32,399.10 = 14,048.46 : x
  2. Step 2: Convert to fraction form
    23,477.67/32,399.10 = 14,048.46/x
  3. Step 3: Cross multiply
    23,477.67x = 32,399.10 × 14,048.46
  4. Step 4: Simplify right side
    23,477.67x = 455,157,460.39
  5. Step 5: Solve for x
    x = 455,157,460.39/23,477.67
  6. Step 6: Final answer
    x = 19,386.82

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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.