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Finding the Fourth Proportional to 15,729.08, 23,610 and 6,970.14

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Solution

The fourth proportional to 15,729.08, 23,610 and 6,970.14 is: 10,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.08 : 23,610 = 6,970.14 : x
  2. Step 2: Convert to fraction form
    15,729.08/23,610 = 6,970.14/x
  3. Step 3: Cross multiply
    15,729.08x = 23,610 × 6,970.14
  4. Step 4: Simplify right side
    15,729.08x = 164,565,005.40
  5. Step 5: Solve for x
    x = 164,565,005.40/15,729.08
  6. Step 6: Final answer
    x = 10,462.47

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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.