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Finding the Fourth Proportional to 16,686.29, 23,025.51 and 9,970.58

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Solution

The fourth proportional to 16,686.29, 23,025.51 and 9,970.58 is: 13,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.29 : 23,025.51 = 9,970.58 : x
  2. Step 2: Convert to fraction form
    16,686.29/23,025.51 = 9,970.58/x
  3. Step 3: Cross multiply
    16,686.29x = 23,025.51 × 9,970.58
  4. Step 4: Simplify right side
    16,686.29x = 229,577,574.37
  5. Step 5: Solve for x
    x = 229,577,574.37/16,686.29
  6. Step 6: Final answer
    x = 13,758.46

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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.