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Finding the Fourth Proportional to 22,088.84, 30,471.86 and 13,130

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Solution

The fourth proportional to 22,088.84, 30,471.86 and 13,130 is: 18,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088.84 : 30,471.86 = 13,130 : x
  2. Step 2: Convert to fraction form
    22,088.84/30,471.86 = 13,130/x
  3. Step 3: Cross multiply
    22,088.84x = 30,471.86 × 13,130
  4. Step 4: Simplify right side
    22,088.84x = 400,095,521.80
  5. Step 5: Solve for x
    x = 400,095,521.80/22,088.84
  6. Step 6: Final answer
    x = 18,113.02

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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.