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Finding the Fourth Proportional to 22,602.90, 31,190.64 and 12,530.74

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Solution

The fourth proportional to 22,602.90, 31,190.64 and 12,530.74 is: 17,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.90 : 31,190.64 = 12,530.74 : x
  2. Step 2: Convert to fraction form
    22,602.90/31,190.64 = 12,530.74/x
  3. Step 3: Cross multiply
    22,602.90x = 31,190.64 × 12,530.74
  4. Step 4: Simplify right side
    22,602.90x = 390,841,775.40
  5. Step 5: Solve for x
    x = 390,841,775.40/22,602.90
  6. Step 6: Final answer
    x = 17,291.66

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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.