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Finding the Fourth Proportional to 22,447.85, 30,973.05 and 13,495.16

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Solution

The fourth proportional to 22,447.85, 30,973.05 and 13,495.16 is: 18,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.85 : 30,973.05 = 13,495.16 : x
  2. Step 2: Convert to fraction form
    22,447.85/30,973.05 = 13,495.16/x
  3. Step 3: Cross multiply
    22,447.85x = 30,973.05 × 13,495.16
  4. Step 4: Simplify right side
    22,447.85x = 417,986,111.71
  5. Step 5: Solve for x
    x = 417,986,111.71/22,447.85
  6. Step 6: Final answer
    x = 18,620.32

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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.