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Finding the Fourth Proportional to 22,483.21, 31,026.94 and 12,411.47

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Solution

The fourth proportional to 22,483.21, 31,026.94 and 12,411.47 is: 17,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.21 : 31,026.94 = 12,411.47 : x
  2. Step 2: Convert to fraction form
    22,483.21/31,026.94 = 12,411.47/x
  3. Step 3: Cross multiply
    22,483.21x = 31,026.94 × 12,411.47
  4. Step 4: Simplify right side
    22,483.21x = 385,089,935.00
  5. Step 5: Solve for x
    x = 385,089,935.00/22,483.21
  6. Step 6: Final answer
    x = 17,127.89

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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.