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Finding the Fourth Proportional to 10,646.54, 14,684.19 and 10,018.70

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Solution

The fourth proportional to 10,646.54, 14,684.19 and 10,018.70 is: 13,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.54 : 14,684.19 = 10,018.70 : x
  2. Step 2: Convert to fraction form
    10,646.54/14,684.19 = 10,018.70/x
  3. Step 3: Cross multiply
    10,646.54x = 14,684.19 × 10,018.70
  4. Step 4: Simplify right side
    10,646.54x = 147,116,494.35
  5. Step 5: Solve for x
    x = 147,116,494.35/10,646.54
  6. Step 6: Final answer
    x = 13,818.24

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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.