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Finding the Fourth Proportional to 19,970.16, 29,903.98 and 19,378.90

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Solution

The fourth proportional to 19,970.16, 29,903.98 and 19,378.90 is: 29,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.16 : 29,903.98 = 19,378.90 : x
  2. Step 2: Convert to fraction form
    19,970.16/29,903.98 = 19,378.90/x
  3. Step 3: Cross multiply
    19,970.16x = 29,903.98 × 19,378.90
  4. Step 4: Simplify right side
    19,970.16x = 579,506,238.02
  5. Step 5: Solve for x
    x = 579,506,238.02/19,970.16
  6. Step 6: Final answer
    x = 29,018.61

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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.