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Finding the Fourth Proportional to 16,525.29, 22,813.79 and 12,740.16

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Solution

The fourth proportional to 16,525.29, 22,813.79 and 12,740.16 is: 17,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.29 : 22,813.79 = 12,740.16 : x
  2. Step 2: Convert to fraction form
    16,525.29/22,813.79 = 12,740.16/x
  3. Step 3: Cross multiply
    16,525.29x = 22,813.79 × 12,740.16
  4. Step 4: Simplify right side
    16,525.29x = 290,651,271.11
  5. Step 5: Solve for x
    x = 290,651,271.11/16,525.29
  6. Step 6: Final answer
    x = 17,588.27

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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.