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Finding the Fourth Proportional to 16,216.14, 22,373.17 and 12,802.40

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Solution

The fourth proportional to 16,216.14, 22,373.17 and 12,802.40 is: 17,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.14 : 22,373.17 = 12,802.40 : x
  2. Step 2: Convert to fraction form
    16,216.14/22,373.17 = 12,802.40/x
  3. Step 3: Cross multiply
    16,216.14x = 22,373.17 × 12,802.40
  4. Step 4: Simplify right side
    16,216.14x = 286,430,127.74
  5. Step 5: Solve for x
    x = 286,430,127.74/16,216.14
  6. Step 6: Final answer
    x = 17,663.27

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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.