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Finding the Fourth Proportional to 15,925.19, 21,970.64 and 10,259.49

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Solution

The fourth proportional to 15,925.19, 21,970.64 and 10,259.49 is: 14,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925.19 : 21,970.64 = 10,259.49 : x
  2. Step 2: Convert to fraction form
    15,925.19/21,970.64 = 10,259.49/x
  3. Step 3: Cross multiply
    15,925.19x = 21,970.64 × 10,259.49
  4. Step 4: Simplify right side
    15,925.19x = 225,407,510.08
  5. Step 5: Solve for x
    x = 225,407,510.08/15,925.19
  6. Step 6: Final answer
    x = 14,154.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.