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Finding the Fourth Proportional to 14,570.75, 21,854.68 and 4,710.08

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Solution

The fourth proportional to 14,570.75, 21,854.68 and 4,710.08 is: 7,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.75 : 21,854.68 = 4,710.08 : x
  2. Step 2: Convert to fraction form
    14,570.75/21,854.68 = 4,710.08/x
  3. Step 3: Cross multiply
    14,570.75x = 21,854.68 × 4,710.08
  4. Step 4: Simplify right side
    14,570.75x = 102,937,334.04
  5. Step 5: Solve for x
    x = 102,937,334.04/14,570.75
  6. Step 6: Final answer
    x = 7,064.65

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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.