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Finding the Fourth Proportional to 25,878.34, 35,686.74 and 16,430.50

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Solution

The fourth proportional to 25,878.34, 35,686.74 and 16,430.50 is: 22,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.34 : 35,686.74 = 16,430.50 : x
  2. Step 2: Convert to fraction form
    25,878.34/35,686.74 = 16,430.50/x
  3. Step 3: Cross multiply
    25,878.34x = 35,686.74 × 16,430.50
  4. Step 4: Simplify right side
    25,878.34x = 586,350,981.57
  5. Step 5: Solve for x
    x = 586,350,981.57/25,878.34
  6. Step 6: Final answer
    x = 22,657.98

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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.