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Finding the Fourth Proportional to 10,298.67, 15,315.51 and 9,970.62

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Solution

The fourth proportional to 10,298.67, 15,315.51 and 9,970.62 is: 14,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.67 : 15,315.51 = 9,970.62 : x
  2. Step 2: Convert to fraction form
    10,298.67/15,315.51 = 9,970.62/x
  3. Step 3: Cross multiply
    10,298.67x = 15,315.51 × 9,970.62
  4. Step 4: Simplify right side
    10,298.67x = 152,705,130.32
  5. Step 5: Solve for x
    x = 152,705,130.32/10,298.67
  6. Step 6: Final answer
    x = 14,827.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.