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Finding the Fourth Proportional to 28,292.95, 42,430.53 and 9,569.49

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Solution

The fourth proportional to 28,292.95, 42,430.53 and 9,569.49 is: 14,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292.95 : 42,430.53 = 9,569.49 : x
  2. Step 2: Convert to fraction form
    28,292.95/42,430.53 = 9,569.49/x
  3. Step 3: Cross multiply
    28,292.95x = 42,430.53 × 9,569.49
  4. Step 4: Simplify right side
    28,292.95x = 406,038,647.97
  5. Step 5: Solve for x
    x = 406,038,647.97/28,292.95
  6. Step 6: Final answer
    x = 14,351.23

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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.