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Finding the Fourth Proportional to 14,284.98, 21,430.66 and 6,895.64

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Solution

The fourth proportional to 14,284.98, 21,430.66 and 6,895.64 is: 10,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.98 : 21,430.66 = 6,895.64 : x
  2. Step 2: Convert to fraction form
    14,284.98/21,430.66 = 6,895.64/x
  3. Step 3: Cross multiply
    14,284.98x = 21,430.66 × 6,895.64
  4. Step 4: Simplify right side
    14,284.98x = 147,778,116.32
  5. Step 5: Solve for x
    x = 147,778,116.32/14,284.98
  6. Step 6: Final answer
    x = 10,345.00

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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.