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Finding the Fourth Proportional to 16,988.86, 25,492.74 and 6,465.88

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Solution

The fourth proportional to 16,988.86, 25,492.74 and 6,465.88 is: 9,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988.86 : 25,492.74 = 6,465.88 : x
  2. Step 2: Convert to fraction form
    16,988.86/25,492.74 = 6,465.88/x
  3. Step 3: Cross multiply
    16,988.86x = 25,492.74 × 6,465.88
  4. Step 4: Simplify right side
    16,988.86x = 164,832,997.71
  5. Step 5: Solve for x
    x = 164,832,997.71/16,988.86
  6. Step 6: Final answer
    x = 9,702.42

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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.