Home / 22,894-31,595.30-12,823.24

Finding the Fourth Proportional to 22,894, 31,595.30 and 12,823.24

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Solution

The fourth proportional to 22,894, 31,595.30 and 12,823.24 is: 17,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894 : 31,595.30 = 12,823.24 : x
  2. Step 2: Convert to fraction form
    22,894/31,595.30 = 12,823.24/x
  3. Step 3: Cross multiply
    22,894x = 31,595.30 × 12,823.24
  4. Step 4: Simplify right side
    22,894x = 405,154,114.77
  5. Step 5: Solve for x
    x = 405,154,114.77/22,894
  6. Step 6: Final answer
    x = 17,696.96

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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.