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Finding the Fourth Proportional to 19,032.84, 28,507.65 and 9,656.70

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Solution

The fourth proportional to 19,032.84, 28,507.65 and 9,656.70 is: 14,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032.84 : 28,507.65 = 9,656.70 : x
  2. Step 2: Convert to fraction form
    19,032.84/28,507.65 = 9,656.70/x
  3. Step 3: Cross multiply
    19,032.84x = 28,507.65 × 9,656.70
  4. Step 4: Simplify right side
    19,032.84x = 275,289,823.76
  5. Step 5: Solve for x
    x = 275,289,823.76/19,032.84
  6. Step 6: Final answer
    x = 14,463.94

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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.