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Finding the Fourth Proportional to 14,271.83, 19,701.74 and 8,301.32

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Solution

The fourth proportional to 14,271.83, 19,701.74 and 8,301.32 is: 11,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.83 : 19,701.74 = 8,301.32 : x
  2. Step 2: Convert to fraction form
    14,271.83/19,701.74 = 8,301.32/x
  3. Step 3: Cross multiply
    14,271.83x = 19,701.74 × 8,301.32
  4. Step 4: Simplify right side
    14,271.83x = 163,550,406.79
  5. Step 5: Solve for x
    x = 163,550,406.79/14,271.83
  6. Step 6: Final answer
    x = 11,459.67

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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.