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Finding the Fourth Proportional to 12,595.30, 18,894.70 and 5,574.76

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Solution

The fourth proportional to 12,595.30, 18,894.70 and 5,574.76 is: 8,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.30 : 18,894.70 = 5,574.76 : x
  2. Step 2: Convert to fraction form
    12,595.30/18,894.70 = 5,574.76/x
  3. Step 3: Cross multiply
    12,595.30x = 18,894.70 × 5,574.76
  4. Step 4: Simplify right side
    12,595.30x = 105,333,417.77
  5. Step 5: Solve for x
    x = 105,333,417.77/12,595.30
  6. Step 6: Final answer
    x = 8,362.91

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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.