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Finding the Fourth Proportional to 14,146.93, 21,222.63 and 4,656.28

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Solution

The fourth proportional to 14,146.93, 21,222.63 and 4,656.28 is: 6,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.93 : 21,222.63 = 4,656.28 : x
  2. Step 2: Convert to fraction form
    14,146.93/21,222.63 = 4,656.28/x
  3. Step 3: Cross multiply
    14,146.93x = 21,222.63 × 4,656.28
  4. Step 4: Simplify right side
    14,146.93x = 98,818,507.62
  5. Step 5: Solve for x
    x = 98,818,507.62/14,146.93
  6. Step 6: Final answer
    x = 6,985.16

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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.