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Finding the Fourth Proportional to 13,123.64, 18,106.08 and 8,410.52

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Solution

The fourth proportional to 13,123.64, 18,106.08 and 8,410.52 is: 11,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.64 : 18,106.08 = 8,410.52 : x
  2. Step 2: Convert to fraction form
    13,123.64/18,106.08 = 8,410.52/x
  3. Step 3: Cross multiply
    13,123.64x = 18,106.08 × 8,410.52
  4. Step 4: Simplify right side
    13,123.64x = 152,281,547.96
  5. Step 5: Solve for x
    x = 152,281,547.96/13,123.64
  6. Step 6: Final answer
    x = 11,603.61

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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.