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Finding the Fourth Proportional to 12,968.64, 17,897.76 and 9,970.56

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Solution

The fourth proportional to 12,968.64, 17,897.76 and 9,970.56 is: 13,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.64 : 17,897.76 = 9,970.56 : x
  2. Step 2: Convert to fraction form
    12,968.64/17,897.76 = 9,970.56/x
  3. Step 3: Cross multiply
    12,968.64x = 17,897.76 × 9,970.56
  4. Step 4: Simplify right side
    12,968.64x = 178,450,689.95
  5. Step 5: Solve for x
    x = 178,450,689.95/12,968.64
  6. Step 6: Final answer
    x = 13,760.17

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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.