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Finding the Fourth Proportional to 19,038.32, 28,564.31 and 8,507.46

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Solution

The fourth proportional to 19,038.32, 28,564.31 and 8,507.46 is: 12,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,038.32 : 28,564.31 = 8,507.46 : x
  2. Step 2: Convert to fraction form
    19,038.32/28,564.31 = 8,507.46/x
  3. Step 3: Cross multiply
    19,038.32x = 28,564.31 × 8,507.46
  4. Step 4: Simplify right side
    19,038.32x = 243,009,724.75
  5. Step 5: Solve for x
    x = 243,009,724.75/19,038.32
  6. Step 6: Final answer
    x = 12,764.24

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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.