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Finding the Fourth Proportional to 19,140, 26,413.50 and 10,526.55

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Solution

The fourth proportional to 19,140, 26,413.50 and 10,526.55 is: 14,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 26,413.50 = 10,526.55 : x
  2. Step 2: Convert to fraction form
    19,140/26,413.50 = 10,526.55/x
  3. Step 3: Cross multiply
    19,140x = 26,413.50 × 10,526.55
  4. Step 4: Simplify right side
    19,140x = 278,043,028.43
  5. Step 5: Solve for x
    x = 278,043,028.43/19,140
  6. Step 6: Final answer
    x = 14,526.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.