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Finding the Fourth Proportional to 21,423.77, 32,142.22 and 9,587.51

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Solution

The fourth proportional to 21,423.77, 32,142.22 and 9,587.51 is: 14,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.77 : 32,142.22 = 9,587.51 : x
  2. Step 2: Convert to fraction form
    21,423.77/32,142.22 = 9,587.51/x
  3. Step 3: Cross multiply
    21,423.77x = 32,142.22 × 9,587.51
  4. Step 4: Simplify right side
    21,423.77x = 308,163,670.99
  5. Step 5: Solve for x
    x = 308,163,670.99/21,423.77
  6. Step 6: Final answer
    x = 14,384.20

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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.