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Finding the Fourth Proportional to 22,483.64, 31,026.98 and 12,411.50

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Solution

The fourth proportional to 22,483.64, 31,026.98 and 12,411.50 is: 17,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.64 : 31,026.98 = 12,411.50 : x
  2. Step 2: Convert to fraction form
    22,483.64/31,026.98 = 12,411.50/x
  3. Step 3: Cross multiply
    22,483.64x = 31,026.98 × 12,411.50
  4. Step 4: Simplify right side
    22,483.64x = 385,091,145.08
  5. Step 5: Solve for x
    x = 385,091,145.08/22,483.64
  6. Step 6: Final answer
    x = 17,127.62

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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.