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Finding the Fourth Proportional to 16,875, 25,312.50 and 7,641

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Solution

The fourth proportional to 16,875, 25,312.50 and 7,641 is: 11,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875 : 25,312.50 = 7,641 : x
  2. Step 2: Convert to fraction form
    16,875/25,312.50 = 7,641/x
  3. Step 3: Cross multiply
    16,875x = 25,312.50 × 7,641
  4. Step 4: Simplify right side
    16,875x = 193,412,812.50
  5. Step 5: Solve for x
    x = 193,412,812.50/16,875
  6. Step 6: Final answer
    x = 11,461.50

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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.