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Finding the Fourth Proportional to 15,312.96, 22,970.70 and 6,547.95

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Solution

The fourth proportional to 15,312.96, 22,970.70 and 6,547.95 is: 9,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.96 : 22,970.70 = 6,547.95 : x
  2. Step 2: Convert to fraction form
    15,312.96/22,970.70 = 6,547.95/x
  3. Step 3: Cross multiply
    15,312.96x = 22,970.70 × 6,547.95
  4. Step 4: Simplify right side
    15,312.96x = 150,410,995.07
  5. Step 5: Solve for x
    x = 150,410,995.07/15,312.96
  6. Step 6: Final answer
    x = 9,822.46

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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.