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Finding the Fourth Proportional to 16,706.48, 23,058.72 and 10,417.64

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Solution

The fourth proportional to 16,706.48, 23,058.72 and 10,417.64 is: 14,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.48 : 23,058.72 = 10,417.64 : x
  2. Step 2: Convert to fraction form
    16,706.48/23,058.72 = 10,417.64/x
  3. Step 3: Cross multiply
    16,706.48x = 23,058.72 × 10,417.64
  4. Step 4: Simplify right side
    16,706.48x = 240,217,443.82
  5. Step 5: Solve for x
    x = 240,217,443.82/16,706.48
  6. Step 6: Final answer
    x = 14,378.70

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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.