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Finding the Fourth Proportional to 14,488.96, 21,726.96 and 6,700

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Solution

The fourth proportional to 14,488.96, 21,726.96 and 6,700 is: 10,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.96 : 21,726.96 = 6,700 : x
  2. Step 2: Convert to fraction form
    14,488.96/21,726.96 = 6,700/x
  3. Step 3: Cross multiply
    14,488.96x = 21,726.96 × 6,700
  4. Step 4: Simplify right side
    14,488.96x = 145,570,632
  5. Step 5: Solve for x
    x = 145,570,632/14,488.96
  6. Step 6: Final answer
    x = 10,047.00

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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.