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Finding the Fourth Proportional to 31,009.60, 46,510.80 and 8,826.40

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Solution

The fourth proportional to 31,009.60, 46,510.80 and 8,826.40 is: 13,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.60 : 46,510.80 = 8,826.40 : x
  2. Step 2: Convert to fraction form
    31,009.60/46,510.80 = 8,826.40/x
  3. Step 3: Cross multiply
    31,009.60x = 46,510.80 × 8,826.40
  4. Step 4: Simplify right side
    31,009.60x = 410,522,925.12
  5. Step 5: Solve for x
    x = 410,522,925.12/31,009.60
  6. Step 6: Final answer
    x = 13,238.58

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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.