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Finding the Fourth Proportional to 22,636.08, 31,237.74 and 12,564.64

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Solution

The fourth proportional to 22,636.08, 31,237.74 and 12,564.64 is: 17,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.08 : 31,237.74 = 12,564.64 : x
  2. Step 2: Convert to fraction form
    22,636.08/31,237.74 = 12,564.64/x
  3. Step 3: Cross multiply
    22,636.08x = 31,237.74 × 12,564.64
  4. Step 4: Simplify right side
    22,636.08x = 392,490,957.51
  5. Step 5: Solve for x
    x = 392,490,957.51/22,636.08
  6. Step 6: Final answer
    x = 17,339.18

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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.