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Finding the Fourth Proportional to 20,058.63, 30,088.64 and 9,523.23

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Solution

The fourth proportional to 20,058.63, 30,088.64 and 9,523.23 is: 14,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058.63 : 30,088.64 = 9,523.23 : x
  2. Step 2: Convert to fraction form
    20,058.63/30,088.64 = 9,523.23/x
  3. Step 3: Cross multiply
    20,058.63x = 30,088.64 × 9,523.23
  4. Step 4: Simplify right side
    20,058.63x = 286,541,039.11
  5. Step 5: Solve for x
    x = 286,541,039.11/20,058.63
  6. Step 6: Final answer
    x = 14,285.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.