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Finding the Fourth Proportional to 12,970.77, 19,437.32 and 7,042.63

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Solution

The fourth proportional to 12,970.77, 19,437.32 and 7,042.63 is: 10,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.77 : 19,437.32 = 7,042.63 : x
  2. Step 2: Convert to fraction form
    12,970.77/19,437.32 = 7,042.63/x
  3. Step 3: Cross multiply
    12,970.77x = 19,437.32 × 7,042.63
  4. Step 4: Simplify right side
    12,970.77x = 136,889,818.80
  5. Step 5: Solve for x
    x = 136,889,818.80/12,970.77
  6. Step 6: Final answer
    x = 10,553.72

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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.