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Finding the Fourth Proportional to 16,706.10, 23,044.56 and 9,897.72

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Solution

The fourth proportional to 16,706.10, 23,044.56 and 9,897.72 is: 13,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.10 : 23,044.56 = 9,897.72 : x
  2. Step 2: Convert to fraction form
    16,706.10/23,044.56 = 9,897.72/x
  3. Step 3: Cross multiply
    16,706.10x = 23,044.56 × 9,897.72
  4. Step 4: Simplify right side
    16,706.10x = 228,088,602.40
  5. Step 5: Solve for x
    x = 228,088,602.40/16,706.10
  6. Step 6: Final answer
    x = 13,653.01

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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.