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Finding the Fourth Proportional to 22,598.19, 31,182.23 and 12,526.63

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Solution

The fourth proportional to 22,598.19, 31,182.23 and 12,526.63 is: 17,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.19 : 31,182.23 = 12,526.63 : x
  2. Step 2: Convert to fraction form
    22,598.19/31,182.23 = 12,526.63/x
  3. Step 3: Cross multiply
    22,598.19x = 31,182.23 × 12,526.63
  4. Step 4: Simplify right side
    22,598.19x = 390,608,039.24
  5. Step 5: Solve for x
    x = 390,608,039.24/22,598.19
  6. Step 6: Final answer
    x = 17,284.93

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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.