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Finding the Fourth Proportional to 15,715.95, 23,570.28 and 6,946.08

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Solution

The fourth proportional to 15,715.95, 23,570.28 and 6,946.08 is: 10,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.95 : 23,570.28 = 6,946.08 : x
  2. Step 2: Convert to fraction form
    15,715.95/23,570.28 = 6,946.08/x
  3. Step 3: Cross multiply
    15,715.95x = 23,570.28 × 6,946.08
  4. Step 4: Simplify right side
    15,715.95x = 163,721,050.50
  5. Step 5: Solve for x
    x = 163,721,050.50/15,715.95
  6. Step 6: Final answer
    x = 10,417.51

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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.