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Finding the Fourth Proportional to 16,506.99, 22,780.04 and 9,434.07

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Solution

The fourth proportional to 16,506.99, 22,780.04 and 9,434.07 is: 13,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.99 : 22,780.04 = 9,434.07 : x
  2. Step 2: Convert to fraction form
    16,506.99/22,780.04 = 9,434.07/x
  3. Step 3: Cross multiply
    16,506.99x = 22,780.04 × 9,434.07
  4. Step 4: Simplify right side
    16,506.99x = 214,908,444.79
  5. Step 5: Solve for x
    x = 214,908,444.79/16,506.99
  6. Step 6: Final answer
    x = 13,019.24

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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.