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Finding the Fourth Proportional to 23,498.90, 32,428.98 and 12,888.50

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Solution

The fourth proportional to 23,498.90, 32,428.98 and 12,888.50 is: 17,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.90 : 32,428.98 = 12,888.50 : x
  2. Step 2: Convert to fraction form
    23,498.90/32,428.98 = 12,888.50/x
  3. Step 3: Cross multiply
    23,498.90x = 32,428.98 × 12,888.50
  4. Step 4: Simplify right side
    23,498.90x = 417,960,989.80
  5. Step 5: Solve for x
    x = 417,960,989.80/23,498.90
  6. Step 6: Final answer
    x = 17,786.41

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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.