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Finding the Fourth Proportional to 16,289.12, 24,437.80 and 4,602.34

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Solution

The fourth proportional to 16,289.12, 24,437.80 and 4,602.34 is: 6,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.12 : 24,437.80 = 4,602.34 : x
  2. Step 2: Convert to fraction form
    16,289.12/24,437.80 = 4,602.34/x
  3. Step 3: Cross multiply
    16,289.12x = 24,437.80 × 4,602.34
  4. Step 4: Simplify right side
    16,289.12x = 112,471,064.45
  5. Step 5: Solve for x
    x = 112,471,064.45/16,289.12
  6. Step 6: Final answer
    x = 6,904.67

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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.