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Finding the Fourth Proportional to 22,232.68, 30,681.54 and 12,802.60

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Solution

The fourth proportional to 22,232.68, 30,681.54 and 12,802.60 is: 17,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.68 : 30,681.54 = 12,802.60 : x
  2. Step 2: Convert to fraction form
    22,232.68/30,681.54 = 12,802.60/x
  3. Step 3: Cross multiply
    22,232.68x = 30,681.54 × 12,802.60
  4. Step 4: Simplify right side
    22,232.68x = 392,803,484.00
  5. Step 5: Solve for x
    x = 392,803,484.00/22,232.68
  6. Step 6: Final answer
    x = 17,667.84

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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.