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Finding the Fourth Proportional to 22,526.40, 31,085.28 and 12,590.40

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Solution

The fourth proportional to 22,526.40, 31,085.28 and 12,590.40 is: 17,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.40 : 31,085.28 = 12,590.40 : x
  2. Step 2: Convert to fraction form
    22,526.40/31,085.28 = 12,590.40/x
  3. Step 3: Cross multiply
    22,526.40x = 31,085.28 × 12,590.40
  4. Step 4: Simplify right side
    22,526.40x = 391,376,109.31
  5. Step 5: Solve for x
    x = 391,376,109.31/22,526.40
  6. Step 6: Final answer
    x = 17,374.11

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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.