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Finding the Fourth Proportional to 22,930.84, 31,632.91 and 14,977.72

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Solution

The fourth proportional to 22,930.84, 31,632.91 and 14,977.72 is: 20,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.84 : 31,632.91 = 14,977.72 : x
  2. Step 2: Convert to fraction form
    22,930.84/31,632.91 = 14,977.72/x
  3. Step 3: Cross multiply
    22,930.84x = 31,632.91 × 14,977.72
  4. Step 4: Simplify right side
    22,930.84x = 473,788,868.77
  5. Step 5: Solve for x
    x = 473,788,868.77/22,930.84
  6. Step 6: Final answer
    x = 20,661.64

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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.