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Finding the Fourth Proportional to 16,482.17, 22,745.40 and 9,030.17

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Solution

The fourth proportional to 16,482.17, 22,745.40 and 9,030.17 is: 12,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.17 : 22,745.40 = 9,030.17 : x
  2. Step 2: Convert to fraction form
    16,482.17/22,745.40 = 9,030.17/x
  3. Step 3: Cross multiply
    16,482.17x = 22,745.40 × 9,030.17
  4. Step 4: Simplify right side
    16,482.17x = 205,394,828.72
  5. Step 5: Solve for x
    x = 205,394,828.72/16,482.17
  6. Step 6: Final answer
    x = 12,461.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.