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Finding the Fourth Proportional to 22,746, 31,389.80 and 12,810

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Solution

The fourth proportional to 22,746, 31,389.80 and 12,810 is: 17,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746 : 31,389.80 = 12,810 : x
  2. Step 2: Convert to fraction form
    22,746/31,389.80 = 12,810/x
  3. Step 3: Cross multiply
    22,746x = 31,389.80 × 12,810
  4. Step 4: Simplify right side
    22,746x = 402,103,338
  5. Step 5: Solve for x
    x = 402,103,338/22,746
  6. Step 6: Final answer
    x = 17,677.98

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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.