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Finding the Fourth Proportional to 16,312.71, 22,511.15 and 9,598.77

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Solution

The fourth proportional to 16,312.71, 22,511.15 and 9,598.77 is: 13,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.71 : 22,511.15 = 9,598.77 : x
  2. Step 2: Convert to fraction form
    16,312.71/22,511.15 = 9,598.77/x
  3. Step 3: Cross multiply
    16,312.71x = 22,511.15 × 9,598.77
  4. Step 4: Simplify right side
    16,312.71x = 216,079,303.29
  5. Step 5: Solve for x
    x = 216,079,303.29/16,312.71
  6. Step 6: Final answer
    x = 13,246.07

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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.