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Finding the Fourth Proportional to 22,970.76, 31,699.66 and 13,034.76

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Solution

The fourth proportional to 22,970.76, 31,699.66 and 13,034.76 is: 17,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.76 : 31,699.66 = 13,034.76 : x
  2. Step 2: Convert to fraction form
    22,970.76/31,699.66 = 13,034.76/x
  3. Step 3: Cross multiply
    22,970.76x = 31,699.66 × 13,034.76
  4. Step 4: Simplify right side
    22,970.76x = 413,197,460.18
  5. Step 5: Solve for x
    x = 413,197,460.18/22,970.76
  6. Step 6: Final answer
    x = 17,987.98

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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.