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Finding the Fourth Proportional to 12,509.00, 18,784.96 and 11,106.58

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Solution

The fourth proportional to 12,509.00, 18,784.96 and 11,106.58 is: 16,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.00 : 18,784.96 = 11,106.58 : x
  2. Step 2: Convert to fraction form
    12,509.00/18,784.96 = 11,106.58/x
  3. Step 3: Cross multiply
    12,509.00x = 18,784.96 × 11,106.58
  4. Step 4: Simplify right side
    12,509.00x = 208,636,605.50
  5. Step 5: Solve for x
    x = 208,636,605.50/12,509.00
  6. Step 6: Final answer
    x = 16,678.93

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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.