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Finding the Fourth Proportional to 22,802.76, 31,468.02 and 13,113.68

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Solution

The fourth proportional to 22,802.76, 31,468.02 and 13,113.68 is: 18,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.76 : 31,468.02 = 13,113.68 : x
  2. Step 2: Convert to fraction form
    22,802.76/31,468.02 = 13,113.68/x
  3. Step 3: Cross multiply
    22,802.76x = 31,468.02 × 13,113.68
  4. Step 4: Simplify right side
    22,802.76x = 412,661,544.51
  5. Step 5: Solve for x
    x = 412,661,544.51/22,802.76
  6. Step 6: Final answer
    x = 18,097.00

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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.