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Finding the Fourth Proportional to 15,643.70, 21,588.69 and 8,570.14

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Solution

The fourth proportional to 15,643.70, 21,588.69 and 8,570.14 is: 11,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.70 : 21,588.69 = 8,570.14 : x
  2. Step 2: Convert to fraction form
    15,643.70/21,588.69 = 8,570.14/x
  3. Step 3: Cross multiply
    15,643.70x = 21,588.69 × 8,570.14
  4. Step 4: Simplify right side
    15,643.70x = 185,018,095.72
  5. Step 5: Solve for x
    x = 185,018,095.72/15,643.70
  6. Step 6: Final answer
    x = 11,827.00

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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.