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Finding the Fourth Proportional to 14,047.86, 21,064.76 and 4,684.67

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Solution

The fourth proportional to 14,047.86, 21,064.76 and 4,684.67 is: 7,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.86 : 21,064.76 = 4,684.67 : x
  2. Step 2: Convert to fraction form
    14,047.86/21,064.76 = 4,684.67/x
  3. Step 3: Cross multiply
    14,047.86x = 21,064.76 × 4,684.67
  4. Step 4: Simplify right side
    14,047.86x = 98,681,417.04
  5. Step 5: Solve for x
    x = 98,681,417.04/14,047.86
  6. Step 6: Final answer
    x = 7,024.66

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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.