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Finding the Fourth Proportional to 22,597.85, 31,184.71 and 12,526.07

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Solution

The fourth proportional to 22,597.85, 31,184.71 and 12,526.07 is: 17,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.85 : 31,184.71 = 12,526.07 : x
  2. Step 2: Convert to fraction form
    22,597.85/31,184.71 = 12,526.07/x
  3. Step 3: Cross multiply
    22,597.85x = 31,184.71 × 12,526.07
  4. Step 4: Simplify right side
    22,597.85x = 390,621,954.01
  5. Step 5: Solve for x
    x = 390,621,954.01/22,597.85
  6. Step 6: Final answer
    x = 17,285.80

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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.