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Finding the Fourth Proportional to 40,674.16, 61,013.40 and 12,970

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Solution

The fourth proportional to 40,674.16, 61,013.40 and 12,970 is: 19,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,674.16 : 61,013.40 = 12,970 : x
  2. Step 2: Convert to fraction form
    40,674.16/61,013.40 = 12,970/x
  3. Step 3: Cross multiply
    40,674.16x = 61,013.40 × 12,970
  4. Step 4: Simplify right side
    40,674.16x = 791,343,798
  5. Step 5: Solve for x
    x = 791,343,798/40,674.16
  6. Step 6: Final answer
    x = 19,455.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.