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Finding the Fourth Proportional to 12,897.64, 19,346.46 and 10,316.98

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Solution

The fourth proportional to 12,897.64, 19,346.46 and 10,316.98 is: 15,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.64 : 19,346.46 = 10,316.98 : x
  2. Step 2: Convert to fraction form
    12,897.64/19,346.46 = 10,316.98/x
  3. Step 3: Cross multiply
    12,897.64x = 19,346.46 × 10,316.98
  4. Step 4: Simplify right side
    12,897.64x = 199,596,892.57
  5. Step 5: Solve for x
    x = 199,596,892.57/12,897.64
  6. Step 6: Final answer
    x = 15,475.46

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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.