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Finding the Fourth Proportional to 22,913, 31,615.14 and 13,482.60

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Solution

The fourth proportional to 22,913, 31,615.14 and 13,482.60 is: 18,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913 : 31,615.14 = 13,482.60 : x
  2. Step 2: Convert to fraction form
    22,913/31,615.14 = 13,482.60/x
  3. Step 3: Cross multiply
    22,913x = 31,615.14 × 13,482.60
  4. Step 4: Simplify right side
    22,913x = 426,254,286.56
  5. Step 5: Solve for x
    x = 426,254,286.56/22,913
  6. Step 6: Final answer
    x = 18,603.16

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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.