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Finding the Fourth Proportional to 19,248.96, 28,854 and 7,557.60

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Solution

The fourth proportional to 19,248.96, 28,854 and 7,557.60 is: 11,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248.96 : 28,854 = 7,557.60 : x
  2. Step 2: Convert to fraction form
    19,248.96/28,854 = 7,557.60/x
  3. Step 3: Cross multiply
    19,248.96x = 28,854 × 7,557.60
  4. Step 4: Simplify right side
    19,248.96x = 218,066,990.40
  5. Step 5: Solve for x
    x = 218,066,990.40/19,248.96
  6. Step 6: Final answer
    x = 11,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.